Novak Djokovic had few issues seeing off Aslan Karatsev to reach the last 16 of the Internazionali d'Italia on Tuesday as he bids to remain world number one.

Djokovic needs to reach the semi-finals in Rome to ensure Daniil Medvedev cannot usurp him atop the ATP rankings next week, and he made a solid start with a 6-3 6-2 victory over another Russian in the second round.

Karatsev did initially pose a threat, with both players breaking at the first opportunity, but Djokovic's superiority gave him the edge in the first set and then saw him cruise in the second.

Djokovic – who will face either Stan Wawrinka or Laslo Djere next – acknowledged he undoubtedly benefited from Karatsev's wastefulness, however.

"You never know with him," Djokovic said. "If he's feeling the ball, he can be very dangerous because he stays so close to the line, puts pressure on his opponents.

"He was missing a lot of balls today, though. He gave me a couple of breaks there in the first and second sets, but I'll take this win for sure.

"It's a straight-sets win against a quality opponent, and I'm looking forward to the next challenge."

Fifth seed Casper Ruud also progressed to the last 16 but was tested by Botic van de Zandschulp, with the Norwegian eventually coming through 6-7 (4-7) 6-2 6-4.

But Andrey Rublev, who had won six of his previous seven matches, was a surprise second-round casualty as he fell to Filip Krajinovic in straight sets, with the Serbian claiming a 6-2 6-4 win.

Canadians Felix Auger-Aliassime and Denis Shapovalov were the other seeds to reach the last 16 on Tuesday. The former was pushed hard by Alejandro Davidovich Fokina in his 4-6 7-6 (7-2) 6-2 success, while the latter could face Rafael Nadal next up.

Meanwhile, across seven first-round matches, Cameron Norrie, Jannik Sinner and Diego Schwartzman were the biggest names to advance, though 11th seed Hubert Hurkacz was dumped out by the unseeded David Goffin.

Andy Murray swept aside Dominic Thiem in impressive fashion to secure his first clay-court win in five years as the Scot advanced to the second round at the Madrid Open on Monday.

The three-time grand slam champion was largely in control against his Austrian opponent, hitting nine aces and saving all three break points against his serve, while Thiem could only save one of the three he faced as Murray won 6-3 6-4.

He will now play 14th seed Denis Shapovalov after the Canadian beat Ugo Humbert 7-6 (7-1) 6-3.

The winner of that contest will have a last-16 meeting against the victor of Novak Djokovic and Gael Monfils after the latter eased into the round of 32 to set up a clash with the Serbian.

Monfils defeated wildcard Carlos Gimeno Valero 6-3 6-0 in less than an hour, while Alejandro Davidovich Fokina also advanced with a 7-5 6-3 win against Lloyd Harris.

Dusan Lajovic set up a second-round match against fifth seed Casper Ruud, who defeated Borna Coric 6-3 4-6 6-4, and ninth seed Cameron Norrie will go up against John Isner, the Briton having overcome Soonwoo Kwon 7-5 7-5.

An interesting tie awaits the much-talked about Carlos Alcaraz after Nikoloz Basilashvili beat Fabio Fognini 7-5 6-4, with the Georgian to face the number seven seeded teenager next.

Jannik Sinner, the 10th seed, scraped through a hard-fought encounter against American Tommy Paul 6-7 (4-7) 7-6 (7-4) 6-3, and will play Alex de Minaur next after the Australian beat Pedro Martinez 7-6 (7-2) 1-6 6-3.

Diego Schwartzman will take on Grigor Dimitrov in the second round. The Argentine 13th seed beat Benoit Paire 6-2 6-7 (5-7) 6-1, while Dimitrov overcame Maxime Cressy 6-2 7-6 (7-4).

Top seed Felix Auger-Aliassime fell to Sebastian Korda in the Estoril Open quarter-finals, while Casper Ruud was sent packing at the BMW Open. 

Auger-Aliassime won just 50 per cent of points behind his first serve as Korda claimed an impressive 6-2 6-2 success over the Canadian in one hour and 29 minutes. 

In the semi-finals Korda will take on fellow American Frances Tiafoe, who edged out Alejandro Davidovich Fokina 7-6 (7-5) 5-7 7-5 in a tight encounter. 

The other last-four clash will see Albert Ramos Vinolas take on Sebastian Baez. 

Ramos Vinolas bested Fernando Verdasco 6-2 6-2 to set up his meeting with Baez after the Argentine rallied from a set down to defeat Richard Gasquet 3-6 6-1 6-4. 

At the BMW Open, second seed Ruud fell to Botic van de Zandschulp in the quarter-finals. 

The Dutchman won their only previous encounter en route to the last eight at last year's US Open and he triumphed 7-5 6-1 in Munich. 

"Maybe the score is easier than it really was," said Van de Zandschulp. "The first set [was] really tight, I think. A great battle in the first one. I had some opportunities to break him in the beginning and didn't take them. Gladly [at] five-all I made the break and held the serve at 6-5. 

"[The] second set was a little bit easier, but I think I played really well today." 

Next up for Van de Zandschulp is Miomir Kecmanovic, who defeated Nikoloz Basilashvili 7-6 (7-5) 6-2. Holger Rune will continue his impressive run against Oscar Otte in the other semi-final after they overcame Emil Ruusuvuori and Alejandro Tabilo respectively. 

Felix Auger-Aliassime survived an early scare to reach the Estoril Open quarter-finals with victory over Carlos Taberner on Thursday.

The top seed is targeting a second title of 2022, having already triumphed in Rotterdam earlier in the campaign.

However, his quest looked in doubt when Taberner dominated the opening set 6-1.

But the world number 10 responded in equally commanding fashion; controlling the next two sets to prevail a 1-6 6-2 6-2 victor.

Auger-Aliassime, who also overcame Taberner in Barcelona last week, will play Sebastian Korda in the last eight after the American beat Benjamin Bonzi 6-3 6-3.

Meanwhile, Santiago finalist Sebastian Baez is through to his third quarter-final of 2022. The world number 59 recovered from a set down to deny third seed Marin Cilic 1-6 6-1 6-4.

Richard Gasquet awaits after the 2015 champion beat Hugo Dellien 7-6 (7-5) 6-2.

Over in Munich, second seed Casper Ruud took a while to find his groove before overcoming Slovakia's Alex Molcan 3-6 6-4 6-4.

Following Alexander Zverev's exit on Wednesday, the Norwegian is the highest remaining seed and is targeting a second title of the season having triumphed in Buenos Aires two months ago.

Next up for him is Botic van de Zandschulp, who won 86 per cent of his points on first serve as he defeated Egor Gerasimov 6-2 6-3.

Meanwhile, Oscar Otte stunned third seed Reilly Opelka 7-6 (7-4) 6-2 to reach his second quarter-final in as many weeks, having also reached that stage in Belgrade.

The German will play Cordoba runner-up Alejandro Tabilo, who advanced following the retirement of opponent Hugo Gaston through injury. 

Alexander Zverev will play Holger Rune and Casper Ruud is set to face Alex Molcan in the round of 16 at the BMW Open.

Zverev and Ruud – the number one and two seeds respectively – received byes in the round of 32, with Danish wildcard Rune defeating Jiri Lehecka 7-6 (7-4) 6-3 to advance in Munich on Monday, and Molcan beating fellow Slovakian Norbert Gombos 6-1 3-6 7-6 (9-7).

Teenager Rune had won his opening match in four of his past five tour-level events ahead of the tournament and extended that run with relative ease.

There were no problems for seventh seed Miomir Kecmanovic as he overcame Max Hans Rehberg in straight sets, 6-2 6-3, and he will face Daniel Altmaier in the last 16 after he beat his German compatriot Philipp Kohlschreiber 7-6 (7-5) 3-6 6-1.

Emil Ruusuvuori is also through after beating Japanese opponent Yoshihito Nishioka 7-6 (7-5) 7-5, and the Finn will now go up against the winner of Dan Evans and Maxime Cressy.

At the Estoril Open, Alejandro Davidovich Fokina, who reached the final in Monte Carlo earlier this month, will face fellow Spaniard Bernabe Zapata Miralles next after he overcame Federico Coria 6-4 6-3.

Fifth seed Frances Tiafoe secured a victory against Dusan Lajovic, with the American coming from a set down to win 2-6 7-5 6-0, and up next for him is Nuno Borges in the last 16.

Borges advanced after opponent Pablo Andujar retired hurt in the second set, although the Portuguese was already a set and 3-0 up at the time, while Soonwoo Kwon eased past Benoit Paire in straight sets.

Carlos Alcaraz produced some supreme tennis as he overcame world number five Stefanos Tsitsipas in the quarter-finals of the Barcelona Open.

Having already played earlier on Friday, defeating compatriot Jaume Munar 6-3 6-3, 18-year-old Spaniard Alcaraz went the distance against Monte Carlo champion Tsitsipas.

Showing his proficiency on clay, Alcaraz triumphed 6-4 5-7 6-2 to set up a semi-final against Alex de Minaur, who prevailed 6-3 5-7 6-1 over Cameron Norrie.

Alcaraz, the fifth seed, was in excellent form against the top seed and last year's runner-up, and cruised ahead in a dominant first set, striking 14 winners to Tsitsipas' five.

Indeed, Tsitsipas – who had beaten Grigor Dimitrov in straight sets earlier in the day – could not hide his frustration when he smashed the ball hard Alcaraz's way to give up the set, much to the anger of a partisan crowd.

Alcaraz seemed en route to having things wrapped up quickly as he followed up a supreme backhand winner with a sensational drop shot, yet from 4-1 down, Tsitsipas reeled off four straight games to nudge himself ahead, breaking to take the set.

That comeback took just too much out of Tsitsipas, though, with Alcaraz roaring into a 4-0 lead in the decider and, after fending off two breakpoints, sealed his biggest win so far at the first time of asking to reach a fourth semi-final of 2022.

Alcaraz has won all three of his meetings with the Greek and will break into the top 10 of the ATP rankings next week, becoming the youngest player to do so since Spanish great Rafael Nadal in 2005, following his first title in Barcelona.

Indeed, he will be the ninth youngest player overall to make the top 10 and the 20th teenager to do so, though the first since Andy Murray in 2007.

"Probably my biggest win on clay court. It was unbelievable," said Alcaraz. 

"Unbelievable game that I played, unbelievable atmosphere that I lived today on court. It was unbelievable everything. The atmosphere here, the crowd, the level that I played, the level of the match. It was incredible.

"I'm playing an incredible level. And I think that I'm ready to get the title."

Vying for a place in the final in the other semi will be Diego Schwartzman and Pablo Carreno Busta, who both produced remarkable turnarounds in their quarter-final matches.

Schwartzman came back to beat Felix Auger-Aliassime 3-6 6-2 6-3, following on from an earlier win over Lorenzo Musetti. 

Carreno Busta, meanwhile, toppled Casper Ruud 4-6 7-6 (10-8) 6-3, though only after saving three match points in the second set in a victory that took three hours.

At the Serbia Open, second seed Andrey Rublev defeated qualifier Taro Daniel 6-3 6-3 to progress to the semi-finals.

In windy conditions in Belgrade, Rublev had little trouble in securing a 74-minute win, teeing up a clash with Fabio Fognini and moving to 21-5 for the season.

Rublev has met the Italian on nine occasions previously, losing five times and winning on four occasions.

"It's going to be tough. Fabi, he's super talented, he can play amazing and it's going to be a tough match with a lot of long rallies, so I just need to do my best and we will see what happens," said Rublev.

Fognini made light work of defeating Oscar Otte 7-5 6-4.

Alexander Zverev and Stefanos Tsitsipas progressed to the quarter-finals of the Monte Carlo Masters with straight sets wins on Thursday, remaining on course for a final meeting.

Last year's runner-up Andrey Rublev, however, missed out on a last-eight spot after falling to a three-set defeat against Jannik Sinner.

World number three Zverev overcame Spain's Pablo Carreno Busta 6-2 7-5 to progress in Monaco, where he is seeking to win the sixth ATP 1000 title of his career.

"For the second clay-court match of the season, I can't complain too much," the 24-year-old second seed said on court after sealing the victory.

"Yes, I lost focus a little bit in the second set, but at the end of the day, he's somebody that can really play. I'm happy with a two-set win."

Tsitsipas (3) remains in contention for a second consecutive title in the principality after defeating Laslo Dere 7-5 7-6 (7-1) and will face off against 12th seed Diego Schwartzman for a semi-final spot after the Argentine defeated Lorenzo Musetti in a hard-fought three-set encounter.

There will be no repeat of 2021's final between Tsitsipas and Rublev, however, after the Russian fell to a thrilling 5-7 6-1 6-3 loss to ninth seed Sinner in the day's final contest.

The other seed to fall victim to a shock in the last 16 was world number seven Casper Ruud, losing 6-3 7-5 to Grigor Dimitrov, who will face Poland's Hubert Hurkacz in the last eight. 

Finally, Novak Djokovic's conqueror Alejandro Davidovich Fokina cruised past David Goffin 6-4 6-1 to set up a quarter-final tie with the United States' Taylor Fritz, who bested compatriot Sebastian Korda – with whom he played doubles with in Monte Carlo – in straight sets.

Carlos Alcaraz said he never expected to have such a meteoric rise so early in his career after winning his first ATP Masters 1000 title at the Miami Open.

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."

Carlos Alcaraz became the youngest Miami Open men's champion as the teenage Spaniard continued his rapid rise by fending off world number eight Casper Ruud.

A 7-5 6-4 victory in Sunday's final gave 18-year-old Alcaraz the third ATP singles title of his career, after winning the 2021 Croatia Open and the Rio Open in February this year.

Alcaraz's maiden Masters 1000 title saw him secure Miami glory even earlier than Novak Djokovic, who was 19 at the time of his 2007 triumph.

"I have no words to describe how I feel – it feels so special to win my first Masters 1000 here in Miami," Alcaraz said.

While he got the job done in the end, there was far from a smooth start for Alcaraz, who lost the first three games of the opening set as Ruud grabbed the early break.

Down 4-1 in that first set, Alcaraz then rattled off three consecutive games to tie it back up, and after breaking again to go up 6-5, he held his nerve to save a break point and move ahead in the contest.

Ruud had issues dealing with Alcaraz's first serve all match long, but it was most dominant in the first set, the Spanish player winning 76 per cent when landing his first serves, while Ruud was down at 54 per cent.

Alcaraz flipped the script in the second set and jumped out to a 3-0 lead with a double break. Ruud was able to get one break back, but he never threatened the rest of the way as Alcaraz closed it out in style, conceding only two points from his last three service games.

Speaking on the court after his win, Alcaraz was overjoyed as he acknowledged a large contingent of support in the crowd, including coach Juan Carlos Ferrero.

"I have my whole team with me, and my family… this is the second tournament that they've all been here with me," he said.

"Thank you to my team, I'm glad to have my father here with me and to be able to share this moment with my family."

Touching on some of his strategy, Alcaraz said the plan was to try and avoid Ruud's dominant forehand as much as possible.

"I knew Casper is playing unbelievable, and has a big forehand, so I tried to play to his backhand first, and attack all the time," he said.

"I'm always trying to attack, and not let him dominate the match with his forehands down the line – that was a pretty big key for me."

With the win, Alcaraz becomes the world number 11, and does not turn 19 until next month.

Casper Ruud set up a semi-final with Francisco Cerundolo at the Miami Masters after he defeated Alexander Zverev 6-3 1-6 6-3 on Wednesday.

Ruud's heavy topspin game gave Zverev problems initially, contributing to a 94 per cent success rate from points on his first serve, while Zverev struggled to find rhythm on serve at 58 per cent.

Saving two break points in the opening game of the second seemed to spark Zverev into life, but Ruud was able to regroup and continue dominating from the baseline in the third to comfortably see his way through.

"It was great to get that break early on [in the third set] and I was able to keep it all the way out," Ruud said post-match. "I was serving well. I can thank my serving for the win today."

The Norweigian world number eight lost his first three ATP 1000 quarter-finals on hard court, but played with confidence on the back of a 75 per cent first-serve rate.

He will face Cerundolo, who also advanced into the semi-finals on Wednesday, after Jannik Sinner was forced to retire due to foot blisters. The Argentine was leading 4-1 in the first set after 23 minutes when Sinner called the match.

The world number 103 held a 0-2 record on hard courts prior to this week, but has now made his first ATP 1000 semi-final in as many attempts after progressing past Tallon Griekspoor, Reilly Opelka, Gael Monfils and Frances Tiafoe.

Cerundolo has enjoyed a strong start to 2022, with respective quarter-final and semi-final appearances on clay in Buenos Aires and Rio de Janeiro.

The winner of the upcoming semi-final will make their first ATP 1000 final appearance, while Ruud was able to beat Zverev at third time of asking, losing the opening two games head-to-head.

Emerging Spanish star Carlos Alcaraz continued his rise with a 7-5 6-3 upset of third seed Stefanos Tsitsipas to reach the Miami Masters quarter-finals on Tuesday.

The 18-year-old, who reached last year's US Open final eight after beating Tsitsipas in the third round, proved too good again for the Greek in one hour and 50 minutes.

Alcaraz reached last week's Indian Wells semi-finals and is now 15-2 on the season, with the win setting up a clash with Serbian Miomir Kecmanovic who upset last week's Indian Wells champion Taylor Fritz 3-6 6-1 6-4.

Tsitsipas broke the Spaniard in the sixth game and led 5-2 before Alcaraz reeled off seven straight games to sensationally take the first set.

Alcaraz surged ahead in the second set, with his defence and speed leaving Tsitsipas short on answers.

The Spaniard, who saved seven of eight break points throughout the match, converted his fourth match point for victory.

"It was really, really tough. He was playing unbelievable," Alcaraz said after the match. "All I can say is I fought until the last ball in the first set [to] come back."

Ninth seed Jannik Sinner won 7-6 (7-3) 6-3 over enigmatic Australian Nick Kyrgios, who had a furious outburst directed at umpire Carlos Bernardes.

The Australian was heard to label Bernardes "an absolute clown" and continued to berate the umpire late in the first set, leading to a code violation and two penalties.

Kyrgios completely lost his cool, demanding to speak to a tournament official before smashing his racquet early in the second set, leading to a game penalty as well.

Sinner will next take on Argentine Francisco Cerundolo after he defeated 28th seed Francis Tiafoe lost 6-7 (2-7) 7-6 (7-3) 6-2.

Top seed Daniil Medvedev made light work of Jenson Brooksby 7-5 6-1 to set up a quarter-final showdown with reigning champion Hubert Hurkacz who won 7-6 (7-3) 6-2 over Lloyd Harris. Medvedev will return to the top of the ATP rankings if he wins their quarter-final.

Second seed Alexander Zverev got past Thanasi Kokkinakis 6-4 6-4 and will meet sixth seed Casper Ruud in the last eight, after the Norwegian won 6-3 6-4 over Briton Cameron Norrie.

Fifth seed Andrey Rublev has been eliminated from the Miami Open in the second round in straight sets by wild card world number 102 Nick Kyrgios on Friday.

The enigmatic Australian triumphed 6-3 6-0 in 52 minutes to clinch a third round clash with Italian Fabio Fognini, who won in three sets against Japanese Taro Daniel.

The victory marks Kyrgios' third win over a top 10 opponent in the past two tournaments, having topped both Casper Ruud and Jannik Sinner at Indian Wells earlier this month.

Rublev had won titles in Marseille and Dubai earlier this season but was not allowed to settle by Kyrgios who sent down 10-5 aces and had a first serve percentage of 80 per cent.

"I know that he's a player who relies on a bit of rhythm, so I just tried to keep the points short and sharp, just play aggressive," Kyrgios said after the match.

"I'm just happy with my performance, whether it's 7-6 in the third or something like this, I'm just happy to get through."

Second seed Alexander Zverev was made to work for victory against Croatian Borna Coric, winning 6-4 3-6 6-3 in two hours and one minute.

The win marks the 2018 Miami Open runner-up's first triumph at the event since that run to the final.

Sixth seed Ruud eased past Henri Laaksonen 6-1 6-2, while ninth seed Sinner defeated Emil Ruusuvuori 6-4 3-6 7-6 (10-8) in two hours and 40 minutes.

Several seeds were beaten included 13th seed Diego Schwartzman who went down 4-6 7-6 (7-3) 6-4 to Thanasi Kokkinakis. Seeds Lorenzo Sonego, Grigor Dimitrov, Reilly Opelka and John Isner also exited.

Gael Monfils defeated Oscar Otte 7-6 (11-9) 6-1, Pablo Carreno Busta won 6-3 6-2 over David Goffin and 10th seed Cameron Norrie won 7-6 (7-5) 6-4 over Jack Draper.

Casper Ruud collected his sixth ATP Tour title as he battled past Diego Schwartzman to win the Argentina Open for a second time on Sunday.

Ruud managed five ATP titles in 2021 and followed that up with another one in the new season as he recovered from a first-set scare to overcome local favourite Schwartzman 5-7 6-2 6-3 in Buenos Aires.

The Norwegian extended his record at the tournament to 9-0, having already lifted the trophy in 2020, after negotiating past his Argentinian opponent in two hours and 35 minutes.

Ruud, who was the top seed, had not dropped a set all week on his way to the showpiece final, but he faltered in the first set as he spurned a break point at 5-4 up, with Schwartzman holding to make it 5-5 before subsequently claiming the opener.

Schwartzman repeated the feat in his first service game of the following set, staving off four break points, but Ruud rallied at 2-2 to claim four straight games and send the match to a decider.

Schwartzman was the defending champion after ending a 13-year wait for an Argentinian winner in Buenos Aires, though it was Ruud who lifted the trophy as he overcame an early break to extend his winning streak in ATP 250 events on clay to 18.

The top two seeds Casper Ruud and Diego Schwartzman will face off in the Argentina Open final after the latter won two matches on Saturday to progress at his home event.

The Argentine world number 14 had to overcome countryman Francisco Cerundolo 6-3 2-6 5-7 earlier on Saturday after their quarter-final had been interrupted by rain on Friday evening.

The match was tied at 1-1 in the third set when rain intervened, with Schwartzman triumphing when play resumed to earn a semi-final date with third seed Lorenzo Sonego.

Schwartzman would later beat Sonego 7-5 3-6 6-2 in almost three hours on a busy day for the 2020 French Open semi-finalist.

World number eight Ruud progressed with a routine 6-3 6-3 victory over Argentine sixth seed Federico Delbonis.

At the Dallas Open semi-finals, Reilly Opelka and John Isner broke the record for the longest tiebreaker on the ATP Tour since 1990.

Second seed Opelka triumphed over fellow American Isner but it was not easy, winning 7-6 (9-7) 7-6 (24-22).

Opelka sent down 39-21 aces across the match, earning a spot in the final against fourth seed Jenson Brooksby who beat Marcos Giron 6-4 6-7 (4-7) 7-6 (7-5).