The world number one cut short his quarter-final against Holger Rune in the French capital during a second-set tie-break after he lost the opener 6-3 on Friday.
Alcaraz stated after his retirement that it is too early to say whether he will be able to play in the prestigious season-ending tournament in Turin which starts on November 13.
The US Open champion said: "I don't know if I'll make it to the Masters Cup [ATP Finals]. Right now I have to do some tests to see how I am before going to Turin.
"I am focused on trying to improve my abdomen and trying to be 100 per cent in Turin."
The Spaniard felt there was no point in taking any chances.
He added: "At the end of the set, I felt bad. My abdomen was getting bad and I preferred to retire to see it and take care of it.
"I can't stretch. I couldn't serve well, I couldn't hit my forehand and when I turned the body I feel pain, I feel the abdomen in all the movements.
"I was playing thinking about it and feeling the pain, so it was better to withdraw."
Rune will face Felix Auger-Aliassime in his first ATP Masters 1000 semi-final, with both players finishing the season strongly.
Auger-Aliassime beat Frances Tiafoe 6-1 6-4 for his 16th consecutive win to set up a repeat of a final in Basel that the Canadian won last weekend.
Alcaraz, 19, continued his terrific start to 2023, now boasting 12 wins from his first 13 matches of the year after winning the Argentina Open and reaching the Rio Open final.
But despite the Spaniard's status as the game's top young talent, he came into the contest winless in his three previous meetings against Canada's Auger-Aliassime.
What separated the two this time around was Alcaraz's ability to keep the ball in play. He produced 26 winners with only eight unforced errors, and while Auger-Aliassime was not much worse (24 winners, 13 unforced errors), he committed six double faults.
He is now one match away from reaching the third Masters 1000 final of his career, having won both the Miami Open and the Madrid Open this past season.
Meeting him in the semi-final will be Italy's Jannik Sinner after he prevailed 6-4 4-6 6-4 against hometown hero Taylor Fritz.
In the seesawing contest, Sinner narrowly edged the total point count 94-86 – with both committing exactly 17 unforced errors – but the Italian created nine break point chances compared to Fritz's three.
Since the beginning of the Australian Open, Sinner sports a 14-2 record, with the only losses in that span coming against world number three Stefanos Tsitsipas and world number six Daniil Medvedev.
It will be the sixth meeting between Sinner and Alcaraz, with the Spanish teen taking in a 3-2 edge after a five-set thriller at the US Open.
Alcaraz became the first player to ever defeat Rafael Nadal and Novak Djokovic in consecutive matches en route to the final in the Spanish capital, while Zverev edged out Stefanos Tsitsipas to make the showpiece.
Zverev, a two-time winner in Madrid in 2018 and 2021, boasted a 2-0 head-to-head record over Alcaraz on the ATP Tour heading into the clash on Sunday, but it was the 19-year-old who seized the early initiative.
Alcaraz struck first with a break to go 4-2 up after a dipping backhand evaded the reach of Zverev, who could not muster a response as the Spaniard served out a dominant first set.
The teenager continued in commanding fashion in the second set, delivering a deft drop shot to break Zverev, who missed two straightforward volleys and produced a double fault to fall 4-1 down.
World number three Zverev managed to save three match points, but a double fault then handed Alcaraz victory in just 62 minutes, becoming the youngest five-time tour winner since Nadal won seven titles by the same age in 2004-05.
Alcaraz leads the way for wins in the 2022 season as his 10th straight triumph – and seventh consecutive victory over top-10 ranked players – takes him to 28 for the campaign, one more than Tsitsipas.
Alcaraz is also the second-youngest player to win two ATP Masters 1000 titles, after triumphing in Miami in March, and will rise to second in the Race to Turin as he seeks his debut at the prestigious end-of-season event in November.
Alcaraz, 19, kicked off his 2023 campaign with eight wins in a row, including an Argentina Open title, before losing to Cameron Norrie in the Rio Open decider.
He has yet to drop a set at this fortnight's tournament in California, following up his opening win over Thanasi Kokkinakis with another strong showing against 31st seed Griekspoor.
The Spaniard will look to keep his strong form going when he meets Jack Draper in the fourth round, after 21-year-old Draper prevailed 7-6 (8-6) 6-2 in a battle of the Brits against Andy Murray.
Murray, who came into the match with six wins from his past seven outings, had an opportunity to take the match by the scruff of the neck but could not capitalise on a set point before going down in a tight tie-break, before Draper took charge.
California's own Taylor Fritz lived up to his fourth seeding, with the defending champion having little trouble in overcoming Argentina's Sebastian Baez 6-1 6-2, and he will play Hungary's Marton Fucsovics for a spot in the quarter-final.
Fucsovics, after upsetting 16th seed Alex De Minaur in the previous round, got the better of Slovakia's Alex Molcan 6-4 6-2.
Former world number three Stan Wawrinka showed he still has some gas in the tank after a surprise 6-2 6-7 (5-7) 7-5 triumph over world number eight Holger Rune, with the 37-year-old showing what he has learned through competing at the top level for as long as the 19-year-old Dane has been alive.
Jannik Sinner, the 13th seed, successfully navigated the challenge of veteran Adrian Mannarino for a 7-6 (9-7) 6-4 victory, Tommy Paul won his top-20 showdown against Hubert Hurkacz 4-6 6-2 6-4, and eighth seed Felix Auger-Aliassime knocked out Francisco Cerundolo 7-5 6-4.
Alcaraz swept aside the 2022 Indian Wells champion 6-4 6-2 in a lopsided Miami Open contest which lasted only 79 minutes, with the Spaniard breaking Fritz in the opening game of both sets.
Both players hit 20 winners, including 11 each on their respective forehands, but Fritz almost doubled Alcaraz' unforced errors count (28-13).
The 19-year-old was impressive from the baseline and overwhelmed Fritz in the end. The American only won 38 per cent on his second serve.
Alcaraz, who won the Indian Wells title a fortnight ago, remains on track to become the eighth male to win the Sunshine Double (Indian Wells and Miami), with Roger Federer the last to achieve that in 2017.
The Spaniard would join Federer (2005, 2006, 2017), Novak Djokovic (2011, 2014, 2015, 2016), Andre Agassi (2001), Marcelo Rios (1998), Pete Sampras (1994), Michael Chang (1992) and Jim Courier (1991) in achieving the Sunshine Double.
Alcaraz will take on Italian 10th seed Jannik Sinner in the semi-finals, after the duo faced off in the Indian Wells last four a fortnight ago, with the Spaniard winning in straight sets.
In-form Daniil Medvedev progressed to the semi-finals with a 6-3 7-5 victory over American qualifier Chrstopher Eubanks, who had enjoyed a dream run in Miami.
Medvedev has a 27-3 record this season and will pursue a fifth straight ATP Tour final when he takes on compatriot Karen Khachanov in the semi-finals.
Khachanov, who made this year's Australian Open semi-finals, defeated Francisco Cerundolo 6-3 6-2 in 76 minutes.
Alcaraz has enjoyed a stunning rise to the top of the rankings over the past two seasons, with the 20-year-old winning two grand slam titles and 12 trophies overall.
The Spaniard has not won a title since triumphing at Wimbledon in July, however, and has reached only one final since then, losing to Novak Djokovic at the Western & Southern Open in August.
A shock defeat to Roman Safiullin at the Paris Masters this week has damaged Alcaraz's chances of pipping Djokovic to the year-end world number one, and Simon does not feel he is a shoo-in to be the standout player of the next generation.
"There are a lot of people who say: 'He's going to win 20 Grand Slams'," Simon told Stats Perform.
"It's long a career. People say he has got the freeway ahead of him. Yes, but we do not know what's behind him?
"When [Roger Federer first arrived, we thought he was going to win a lot, and he did. Breaking [Pete] Sampras' record, we were sure of it.
"But the danger came from behind. First Rafa [Rafael Nadal] then Novak, then Andy [Murray]. And I think it will be the same for Carlos. The danger will come from behind."
Simon, who won 14 career titles and reached a high of number six in the ATP rankings, pointed to the likes of world number four Jannik Sinner and number three Daniil Medvedev, though the latter is seven years Alcaraz's senior.
"There are players aged 16, 17, who are playing extremely well and who may also have a similar career path. In the end, he still has Novak and hyper-stable, hyper-strong players like Daniil on hard court or other players on clay who can really cause him problems," Simon continued.
"Sinner and so on, but he may also have two or three guys behind him who, in two or three years' time, we don't know who they are yet, but they'll be up there like him, and we'll be saying to ourselves: 'Ah well, he never had that period when he was supposedly going to win everything with no competition in front of him'.
"There is never no competition. The other players, even if they are not the calibre of Federer or Nadal, they are very strong. Daniil is very strong, very stable on hard court, so he can beat [Alcaraz].
"Carlos seems to have the upper hand. But no, Daniil finds a solution, comes up with something else and beats him. And that is why it's never a foregone conclusion, and why it's so interesting to follow. Otherwise, we would not even be watching the match."
The Rolex Paris Masters became the first Masters 1000 to broadcast its qualifying matches on Twitch, live on Rivenzi's channel.
Reigning US Open champion Alcaraz eased past Bagnis 6-0 6-2, firing 12 winners and three aces for the match, committing only 11 unforced errors.
The Spaniard won the first set in 24 minutes, marking the first time he has won an opening frame 6-0 at an ATP Masters 100 event. It was also the first bagel he has dished out since beating Bagnis in Umag last year.
"I knew that I needed to be focused for my first match," Alcaraz said after his win, having triumphed in Indian Wells last week. "To start a new tournament is never easy, different conditions.
"I have to be ready to get used to these new conditions, but I was really focused on the match from the beginning, and I'm happy with the way that I played. I try to improve every day."
Alcaraz will face Dusan Lajovic after he beat 30th seed Maxime Cressy 6-4 7-6 (7-2), having knocked off Andy Murray in the first round.
Zverev was the highest seed to bow out on Friday, going down 6-0 6-4 to Japan's Taro Daniel, who beat world number four Casper Ruud last month in Acapulco.
Daniel triumphed in 73 minutes against the German, hitting 17 winners and committing only two unforced errors for the match, while Zverev gave up 18.
The Japanese wild card will meet Emil Ruusuvuori in the third round after the Finn beat 22nd seed Roberto Bautista Agut 6-4 7-6 (7-5) to open up that section of the draw.
Third seed Ruud also had few problems getting past Ilya Ivashka 6-2 6-3 to set up a clash with Botic van de Zandschulp after his three-set win over Alexei Popyrin.
Sixth seed Andrey Rublev overcame J.J. Wolf 7-6 (7-3) 6-4, having been broken in the opening game of what was a tight contest.
Jannik Sinner beat Laslo Djere 6-4 6-2, marking his 16th win out of 20 appearances at the Sunshine Double (Indian Wells and Miami), with only three other players – Novak Djokovic, Alcaraz and Hubert Hurkacz – having as many wins within their first 20 matches.
Ninth seed Taylor Fritz defeated fellow American Emilio Nava 6-4 6-1, and will face Denis Shapovalov in round three after he beat Guido Pella 6-3 3-6 6-3.
American 16th seed Tommy Paul came from a set down to beat Marc-Andrea Huesler 5-7 6-3 6-4, while seventh seed Holger Rune beat Martin Fucsovics 6-3 7-5.
World number one Djokovic breezed past Pole Hubert Hurkacz to reach the final four in Madrid for the seventh time, while Alcaraz battled past compatriot Rafael Nadal to make the semi-finals.
That made 19-year-old Alcaraz the first teenager to beat record 21-time grand slam winner Nadal on clay on the ATP Tour, and the Spaniard again raced out of the blocks as he immediately broke Djokovic.
However, the experienced Serbian returned the favour to level at 4-4, before eventually claiming the first set with a tie-break win after an hour-and-two-minute battle.
Neither relented in the second set, with both holding their first five service games before Alcaraz eventually broke the top seed – the first set Djokovic had dropped in Madrid – to send the match to a decider.
Alcaraz, buoyed on by a vociferous home crowd, had won three consecutive three-setters before the last-four meeting, and had the chance to follow suit, only for Djokovic to deliver an ace at match point.
Another tie-break was required to separate the pair, with Alcaraz eventually triumphing after three hours and 35 minutes to record his sixth straight win over top-10 ranked players.
Teenage star Alcaraz became the first player to defeat Nadal and Djokovic back-to-back, while he is the youngest player to defeat a world number one in 17 years.
Alcaraz, who has won his last nine matches, will now await the result of the other semi-final between Alexander Zverev and Stefano Tsitsipas to see who he will face in the final on Sunday in the Spanish capital.
Despite Medvedev coming into Sunday's decider on a 19-match winning streak, Alcaraz dominated 6-3 6-2 to win in 72 minutes.
Alcaraz's Indian Wells triumph was his third ATP Masters 1000 crown from three finals, not dropping a set in any of those deciders.
The 19-year-old Spaniard went through the Indian Wells Open without dropping a set and reflected that it was a "perfect" fortnight for him.
"It feels amazing to lift the trophy here [and] to recover the number one," Alcaraz told reporters, having reclaimed the top rank from Novak Djokovic due to his victory.
"It has been the perfect tournament. It was a goal for me, this tournament that I really wanted to win. For me, it's amazing."
The lopsided nature of Alcaraz's victory over Medvedev in the final caught many by surprise, hitting 19-4 winners against the in-form fifth seed.
"Honestly I didn’t expect that," Alcaraz said. "I expected a tough match but I played perfect. I said before against Daniil you have to play your best and tactically at your best level as well. I did perfect today. That's why it looks easy but it wasn’t."
Alcaraz added he was delighted to reclaim the number one rank which he had lost after Djokovic won the 2023 Australian Open which he missed due to injury.
Djokovic was unable to participate at Indian Wells due to being unvaccinated for COVID-19, with the pair actually not facing off at any events this year.
Alcaraz returned from abdominal and hamstring injuries last month at the Argentina Open and Rio Open before competing at Indian Wells, while Djokovic was in action at the Dubai Tennis Championships. The next opportunity for the pair to face off as at April's Monte Carlo Masters.
"Novak is one of the best players in the world," Alcaraz said. "That's obvious. I always say, if you want to be the best, you have to beat the best. I really wanted to play against Novak again. We miss him on tour and hopefully to have him back very, very soon."
Alcaraz added: "It feels great to be back on the number one. Of course, every player on the ATP wants to be the number one. For me, it's a dream come true again. Obviously being in front of such great players like Novak, the top player, it's an amazing feeling."
Despite Djokovic being unable to compete at Indian Wells, Medvedev said he felt Alcaraz's return to the top rank was a true number one.
"One hundred per cent," Medvedev said. "It's unfortunate Novak can't play all the tournaments. If you get injured, Rafa is injured for some time, we cannot say if Rafa isn’t injured he would be number one, because we cannot know. Same about Novak.
"For sure if he was able to play last year and this year all the tournaments there is a possibility that the rankings would be different but Carlos is deservedly number one, he won more points than everybody else in the last 52 weeks and he was also year-end number one last year."
German star Zverev was fuming over his court scheduling this week, claiming late-night contests meant he came into the title match in no fit state to compete as he described tournament bosses as "an absolute disgrace".
He claimed he had only been able to get to bed at 5.20am after a late-night semi-final victory over Stefanos Tsitsipas on Saturday.
While Zverev had warm words for 19-year-old sensation Alcaraz, he felt he had cause to feel aggrieved at his handling by tennis organisers after his 6-3 6-1 final reverse.
"I want to congratulate Carlitos," he said in an on-court interview. "Right now, you are the best player in the world. It is great for tennis that we have such a new superstar that is going to win so many grand slams, that is going to be world number one, and I think is going to win this tournament many more times."
Later, in a news conference, Zverev said Alcaraz had been "playing amazing".
"But one thing I have to say is that the ATP's job was an absolute disgrace this week," Zverev said, according to tennismajors.com. "Two days ago I went to bed at 4:00, 4:30am. Yesterday I went to bed at 5:20am. If any normal person goes to bed one night at 4:00am, the next night at 5:00am, it will be a tough time just to be awake for them.
"And for me to play a final against Carlos Alcaraz, who for me is the best player in the world right now, in a Masters 1000 event, the next day, it is difficult."
There is little doubt Alcaraz, who will now skip the Internazionali d'Italia to rest before the French Open, is only going to keep progressing.
After beating Rafael Nadal and Novak Djokovic this week before overcoming Zverev in the title match, he will leap three places to sixth in the ATP rankings on Monday, having followed up last month's triumph in Miami with his second Masters 1000 title.
"It feels great to be able to beat these players," Alcaraz said. "To beat two of the best players in history and then Zverev, the world number three.
"I would say this is the best week of my life. I am 19 years old, which I think is the key to be able to play long and tough matches in a row. I am feeling great physically.
"It is a great moment for me. It is the first tournament I watched, so lifting the trophy today is so emotional."
Despite Medvedev coming into Sunday's decider on a 19-match winning streak, Alcaraz dominated 6-3 6-2 to win in 72 minutes.
Alcaraz's Indian Wells triumph was his third ATP Masters 1000 crown from three finals, not dropping a set in any of those deciders.
The 19-year-old Spaniard went through the Indian Wells Open without dropping a set and reflected that it was a "perfect" fortnight for him.
"It feels amazing to lift the trophy here [and] to recover the number one," Alcaraz told reporters, having reclaimed the top rank from Novak Djokovic due to his victory.
"It has been the perfect tournament. It was a goal for me, this tournament that I really wanted to win. For me, it's amazing."
The lopsided nature of Alcaraz's victory over Medvedev in the final caught many by surprise, hitting 19-4 winners against the in-form fifth seed.
"Honestly I didn’t expect that," Alcaraz said. "I expected a tough match but I played perfect. I said before against Daniil you have to play your best and tactically at your best level as well. I did perfect today. That's why it looks easy but it wasn’t."
Alcaraz added he was delighted to reclaim the number one rank which he had lost after Djokovic won the 2023 Australian Open which he missed due to injury.
Djokovic was unable to participate at Indian Wells due to being unvaccinated for COVID-19, with the pair actually not facing off at any events this year.
Alcaraz returned from abdominal and hamstring injuries last month at the Argentina Open and Rio Open before competing at Indian Wells, while Djokovic was in action at the Dubai Tennis Championships. The next opportunity for the pair to face off as at April's Monte Carlo Masters.
"Novak is one of the best players in the world," Alcaraz said. "That's obvious. I always say, if you want to be the best, you have to beat the best. I really wanted to play against Novak again. We miss him on tour and hopefully to have him back very, very soon."
Alcaraz added: "It feels great to be back on the number one. Of course, every player on the ATP wants to be the number one. For me, it's a dream come true again. Obviously being in front of such great players like Novak, the top player, it's an amazing feeling."
Despite Djokovic being unable to compete at Indian Wells, Medvedev said he felt Alcaraz's return to the top rank was a true number one.
"One hundred per cent," Medvedev said. "It's unfortunate Novak can't play all the tournaments. If you get injured, Rafa is injured for some time, we cannot say if Rafa isn’t injured he would be number one, because we cannot know. Same about Novak.
"For sure if he was able to play last year and this year all the tournaments there is a possibility that the rankings would be different but Carlos is deservedly number one, he won more points than everybody else in the last 52 weeks and he was also year-end number one last year."
Alcaraz is one of the brightest prospects on the ATP Tour, with the 18-year-old Spaniard having won his first Masters title at the Miami Open and become the youngest men's champion of that tournament.
That was Alcaraz's second title of 2022 and third overall. He is now up to 11th in the ATP world rankings.
Seeded eighth, Alcaraz has been handed a bye to the second round but is in the same quarter of the draw as world number one Djokovic, who has triumphed twice in Monte Carlo.
Alcaraz, though, is making sure not to get ahead of himself and think too much about a maiden meeting with Djokovic, with American Korda – who defeated Botic van de Zandschulp in his first-round match – first up.
"I don't want to be in a rush, I just focus on the first [match]," Alcaraz told reporters ahead of what is a rematch of the Next Gen ATP Finals championship match which he won in straight sets.
"Obviously, it would be a great match against Novak.
"Playing against the number one player in the world [would be] amazing for me, but I hope to play well in the first [matches] and hope to meet him in the quarter-finals."
Alcaraz seems set to have a future at the very top of the game but is insisting everything must be taken step by step.
"Sometimes it is difficult, but I am trying to make it easy," he said.
"Doing everything for the first time, I am trying my best, trying to manage the nerves of the first time well."
Taylor Fritz, who won a Masters title at Indian Wells earlier this year, could also be standing in the way of Alcaraz and the quarter-finals, should the American defeat wildcard Lucas Catarina and Marin Cilic.
Djokovic, on the other hand, faces Alejandro Davidovich Fokina in his first match.
Alcaraz was on top for most of his 7-6 (7-1) 7-5 victory, winning 80 per cent of his first-serve points and 75 per cent of net points against Sinner.
Sinner showed determination to stay in both sets, with the Italian saving nine of the 11 break points he faced, but it was ultimately in vain.
The European Open winner will be among those sweating as the race to qualify for the ATP Finals in Turin heats up.
After the win, 18-year-old Alcaraz said: "I'm so happy for this win as Jannik was fighting for a spot at the ATP Finals. It's my third Top 10 win of the year.
"I think Jannik and I will have a great rivalry in the future... I think that I played really, really aggressive, more than him. I think that was one of the keys."
Alcaraz will now face qualifier Hugo Gaston in the next round after the Frenchman impressively knocked out 12th seed Pablo Carreno Busta 6-7 (3-7) 6-4 7-5.
Interesting day for Turin hopefuls
It was a mixed day for others looking to secure a spot at the season-ending ATP Finals later this month as Felix Auger-Aliassime – ranked 12th in the ATP Race to Turin – lost in straight sets to Dominik Koepfer, who added to his impressive list of victims after beating three-time grand slam champion Andy Murray in the first round.
Koepfer will play another Turin hopeful, the 10th-ranked Hubert Hurkacz after he beat Tommy Paul in straight sets.
Cameron Norrie also impressed in his 6-3 6-4 win over Reilly Opelka, which was his 50th tour-level win of the year.
Taylor Fritz awaits after the American stunned fifth seed Andrey Rublev 7-5 7-6 (7-2).
Medvedev and Zverev ease through but Tsitsipas out
Second seed and US Open champion Daniil Medvedev had a routine first match of the tournament as he swept past Ilya Ivashka 7-5 6-4, while Olympic Games gold medallist and fourth seed Alexander Zverev also had few problems against Dusan Lajovic 6-3 7-6 (7-5).
However, third seed Stefanos Tsitsipas exited after retiring hurt with an apparent arm injury against Alexei Popyrin in the first set with the score at 4-2 to the Australian.
Popyrin will now face fellow countryman James Duckworth, who followed up his impressive win against 14th seed Roberto Bautista Agut with a 6-3 3-6 6-3 victory against Lorenzo Musetti.
Elsewhere, 11th seed Diego Schwartzman was shocked by qualifier Marcos Giron 7-6 (7-2) 7-6 (7-4).
There were also wins for 16th seed Grigor Dimitrov against Karen Kachanov, and Sebastian Korda over Marin Cilic.
Gael Monfils will go up against world number one Novak Djokovic in the third round after the experienced French 15th seed came from behind to beat compatriot Adrian Mannarino 2-6 7-6 (7-4) 6-2.
Alcaraz defeated Casper Ruud 7-5 6-4 in the final, making the 18-year-old the youngest ever winner in Miami, beating Novak Djokovic's previous record when he won it aged 19.
With the win, Alcaraz jumped all the way up number 11 in the world.
Speaking to Tennis Channel after his triumph, Alcaraz said he has already exceeded his goals for this season.
"Of course, I did not expect this," he said.
"My goal was to end this year in the top-15, and now I'm at 11, close to the top-10. I'm going up so fast, and I think it's [because of] all the hard work I'm putting in every day.
"Of course my experience from last year has helped me a lot – playing Rafa (Nadal) in Madrid, against (Alexander) Zverev in Acapulco – you have to live that experience to learn.
"When I started playing tennis when I was five or six, I wanted to be number one in the world, and this year I've realised I can beat the top players in the world."
Alcaraz was buoyed by the presence of his coach, former world number one Juan Carlos Ferrero, who surprised him the day before the final after being absent throughout the tournament, mourning the death of his father back in Spain.
"Juan Carlos [Ferrero] played everything that I'm playing, he has experienced all that I am experiencing right now, so he has helped me a lot," he said.
"It's amazing to have Juan Carlos here with me – I talk with him every day, but it was a surprise when he arrived, I didn't know anything.
"It was a big surprise and I was really happy [to see him] – I'm really happy to win my first Masters 1000 title with him here."
With the young Spaniard now drawing comparisons to Spanish superstar Rafael Nadal, Alcaraz said it can only be a good thing.
"If people are comparing you with Rafa, that means you are doing great things, and you are doing it the right way," he said.
"I'm trying to not think about that – Rafa is Rafa, and I am Carlos Alcaraz – Rafa is one of the best players in the history of tennis, and I am a young man living his dream.
"I looked up to Rafa when I was young, he inspired me a lot, watching his big matches, so to be around him in the tour, and to be able to play against him, is pretty special."
The 19-year-old had lost his previous two encounters with Nadal, but he came out on top 6-2 1-6 6-3 in Friday's match in the Spanish capital.
It made him the first teenager to beat the record 21-time grand slam winner on clay on the ATP Tour.
Alcaraz has now won his last five matches against top-10 opponents and will next take on world number one Djokovic, who earlier defeated Hubert Hurkacz 6-3 6-4, for a place in Sunday's final.
Nadal, who had won his previous 25 matches against fellow Spaniards, struggled to handle the intensity of his opponent's game in a first set that saw him lose serve three times.
Alcaraz struck 19 winners in the opening set in total and took three games in a row to edge ahead, though the youngster lost his footing at 1-1 in the second set and required a medical time-out.
After having his ankle strapped up, Alcaraz struggled to match his levels from the first set and Nadal – competing in a record-extending 99th Masters 1000 quarter-final – went through the gears, taking 20 of the final 22 points to level the contest.
That gave Nadal momentum heading into the deciding set, yet it was Alcaraz who earned the only break of serve in the fourth game with some powerful hitting before seeing out a statement victory.
Only John McEnroe has reached a century of victories in fewer matches, the ATP said, with the American getting there from 131 contests while it took Alcaraz 132 to get to that landmark.
Alcaraz made it 10 wins from 11 matches in 2023 by defeating Tallon Griekspoor 7-6 (7-4) 6-3 on Monday at the California tournament.
The Spanish prodigy last year won the US Open and in doing so became the youngest men's world number one, with Novak Djokovic having since clawed back top spot.
Victory over Griekspoor made Alcaraz the third men's tour player born after 2000 to claim 100 tour wins, after Jannik Sinner and Felix Auger-Aliassime, said OptaAce.
The youngster's first tour-level win came against fellow Spaniard Albert Ramos-Vinolas at the 2020 Rio Open, with the then 16-year-old wrapping up a 7-6 (7-2) 4-6 7-6 (7-2) at 3am local time.
The latest victory was his 24th at ATP 1000 level, going past Djokovic on the all-time ranking for wins at that elite tier by players before turning 20.
Alcaraz trails Denis Shapovalov (25) and Rafael Nadal (49), in that regard, but the chances are he will soon only trail Nadal, whom he cannot catch.
With his 20th birthday coming up in May, Alcaraz can substantially add to his ATP 1000 wins before leaving behind his teenage years. He will be looking to go further at Indian Wells and then rack up more victories in Miami, Monte Carlo and Madrid.
He will turn 20 on May 5, during the Madrid tournament where he is the defending champion.
Reflecting on his time on tour so far, Alcaraz said: "A lot has happened since that first ATP win. I'm really proud of myself to have my 100th win on the tour, in like 132 matches.
"I saw I was the second player in history with less matches to be able to get to 100 wins. I'm really proud of myself about that."
Alcaraz has a win percentage of 70.6 at ATP 1000 events in his fledgling career. Only three players with 10 or more matches in ATP 1000 events as a teenager have a higher percentage of success: Andre Agassi (90.9 per cent), Rafael Nadal (84.5) and Jim Courier (72.7).
Standing in the way of Alcaraz making an immediate improvement to his record is another emerging young talent, the 21-year-old British player Jack Draper.
They will meet in round four at Indian Wells on Tuesday, with Draper having sunk the hopes of compatriot and three-time grand slam winner Andy Murray on Monday to reach that stage.
"I know he's a really good player," said Alcaraz, who won his one previous meeting with Draper, a tight three-setter in Switzerland last year.
"I mean, he's playing well. He has beaten great opponents like [Dan] Evans and Andy. I know that I'm going to have to play my best, give my 100 per cent on court. I played against him in Basle [and won] 7-5 in the third, I think. It's going to be a really tough match and I'm going to enjoy it."
Alcaraz had been pushed close in the last 16 by Jan-Lennard Struff on Tuesday, requiring two tie-breaks to see off the German in three sets, and those exertions seemed to take their toll as he produced a below-par display on Wednesday.
Seven unforced errors from Rublev helped the home favourite take the opener, but he appeared to tire from there as his seventh-seeded opponent fired in 27 winners in a 4-6 6-3 6-2 victory.
Rublev broke Alcaraz's serve in the first and fifth games of the decider, also serving impressively to deny the Spaniard a single break point after a nervous first hold.
Alcaraz's exit ended home interest in the tournament, just one day after five-time champion Rafael Nadal was dumped out in the last 16 by Jiri Lehecka.
Speaking to Sky Sports Tennis, Rublev said: "I can't believe that I was able to stay calm throughout the match. I didn't say a word and even I'm impressed by that!
"I want to believe that I have been working on this because if not, then I'm stupid. I just thought to myself to keep trying, keep fighting, keep believing in yourself."
Data Debrief: Major scalp for Rublev
To say Rublev entered Wednesday's match as the underdog would be an understatement. Alcaraz was looking to become the first player to win three straight Madrid Open singles titles, and was 24-0 in Spanish clay-court events since the start of 2022.
Rublev, though, was not overawed by the occasion and punished a sluggish performance from the world number three. Wednesday's win was his first over a top-three opponent since 2022, and he will now face either Taylor Fritz or Francisco Cerundolo in the last four.
The defending champion, who defeated Alexander Zverev in last year's final, was twice broken in the opening set by Ruusuvuori but responded well to prevail 2-6 6-4 6-2.
Alcaraz hit 36 winners to his opponent's 23 to reach the last 32, where Grigor Dimitrov awaits after defeating Gregoire Barrere 7-6 (8-6) 7-6 (7-2).
"It was really tough. I would say I was about to lose," Alcaraz said in his on-court interview. "It was really tough. Emil played unbelievably, but I am really happy to get through that."
There was a shock result elsewhere as third seed Casper Ruud lost 6-3 6-4 to Matteo Arnaldi, who had never previously claimed victory over a top-10 opponent.
Arnaldi previously eliminated Benoit Paire and will now take on Jaume Munar – the Spaniard advancing after Tallon Griekspoor retired when a set behind in their second-round tie.
Monte Carlo Masters winner Andrey Rublev continued his good form on the clay courts with a 7-5 6-4 win against Stan Wawrinka.
Roger Federer's haul of 20 slam titles has been overtaken by Rafael Nadal and Novak Djokovic, who both have 22 majors, but those three are streets ahead of every other men's singles player in history.
Next on the list is Pete Sampras with 14 slams, which was itself a total that many once fancied would not be beaten for decades.
Murray was for a time part of a Big Four, until he got left behind by the relentless winning of his three great rivals. Federer has retired, but Djokovic and Nadal may yet have more slam titles in them.
At the age of 19, Alcaraz is already off the mark, winning the US Open last year, and he has jumped back to world number one after winning the Indian Wells Open on Sunday.
Djokovic and Nadal will be big threats to Alcaraz's hopes of triumphing at the French Open, but the young Spaniard is no longer simply the coming player on the ATP. He has arrived, and Murray is convinced Alcaraz is the real deal and poised to stay at the top of the sport for years to come.
"He has an excellent game, an all-around game that I think will translate well onto all surfaces," Murray said.
"He's not the biggest guy, but he can serve big. He's an unbelievable mover, great athlete. Has a lot of variety in his game. Takes the ball on a lot. That's something that you hope that he keeps.
"I know from experience that it's a bit easier playing that way when you're sort of 18, 19, and there's not any scar tissue there. I hope that he maintains that style of play because it's exciting to watch."
The prediction that Alcaraz can be an all-court player, and therefore succeed on grass as well as the hard and clay courts where he has already found success, bodes well for his prospects of stacking up slams.
Murray might have faced Alcaraz in round three at the Miami Open this fortnight, but the veteran Briton, a three-time slam winner and former number one, lost his opener on Wednesday to Serbian Dusan Lajovic.
There have only been two matches on tour between Alcaraz and Murray to date, both coming in the 2021 season when they won one each.
Alcaraz is the defending champion in Miami, and a clear favourite after crushing Daniil Medvedev in the Indian Wells title match. He brings a 14-1 record for the year into the tournament.
"He's obviously so far in his young career doing better than most of the guys that have come in the last eight to 10 years," Murray said.
"I know a lot of people are expecting everyone to win 20-plus grand slams now, like that's sort of normal. I wouldn't predict that for anyone.
"I would imagine he would be right at the top of the game for, well, as long as he wants to play."
The world number one suffered an internal oblique muscle tear during a Paris Masters quarter-final against Holger Rune on Friday.
Alcaraz retired early in a second-set tie-break after losing the opening set 6-3 in the French capital.
The US Open champion on Saturday revealed it will take him six weeks to recover from the injury, so Taylor Fritz will take his place in the ATP Finals in Turin next week.
Teenager Alcaraz will also be unavailable for Spain's bid to win the Davis Cup on home soil, with the prestigious event getting under way on November 22 in Malaga.
He posted on Instagram: "After my withdrawal yesterday and having been evaluated by my medical team, Dr Juanjo Lopez and Juanjo Moreno, unfortunately this is the result of my injury: an internal oblique muscle tear in the left abdominal wall with an estimated recovery time of six weeks.
"Unfortunately I won't make the ATP Finals or the Davis Cup Finals. It is tough and painful for me to miss these two events, which are so important to me, but all I can do is be positive and focus on my recovery. Thank you for the support!"
The 19-year-old became the youngest player to top the ATP rankings after winning his maiden major title at Flushing Meadows in September and ends a magnificent season with a record of 57 wins and 13 defeats.
He has won five ATP Tour titles in 2022, with Masters 1000 triumphs in Miami and Madrid along with his finest hour in New York.
