Rafael Nadal sympathises with Naomi Osaka over the abuse she was subjected to at Indian Wells, but says athletes must be prepared to deal with it "as nothing is perfect in life".

Osaka was reduced to tears as she crashed out of the Indian Wells Open with a 6-0 6-4 third-round defeat to 21st seed Veronika Kudermetova on Saturday.

A member of the crowd could be heard shouting "Naomi, you suck" after the four-time grand slam champion had been broken in the first game of the match.

Osaka approached the chair umpire to report the incident and held further discussions with the court supervisor after being insulted again.

While accepting there is no place for such conduct, 21-time grand slam winner Nadal believes players should learn to cope with hostile environments.

"These kind of questions are tough to answer because, in some way, the easy answer for me is I feel terrible about what happened, that never should happen," he told reporters.

"The real thing, in the real world, that happens, you know? I feel very sorry for her. We are having, in my opinion, a great life. 

"We are very lucky people that we're able to enjoy amazing experiences because of our life, because we are tennis players. We make money.

"Even if is terrible to hear from that, we must be prepared for that. We need to resist these kind of issues that can happen when you are exposed to people. 

"At the same time, as we like a lot when the people are supporting, when something like this happens, we need to accept and move forward.

"I understand that probably Naomi, she suffered a lot with his probably kind of issues that she has, mental [health] issues. 

"The only thing that I wish for her is to recover well from that and wish her all the very best. But nothing is perfect in this life. We need to be ready for adversities."

Speaking shortly after the incident, an emotional Osaka said being targeted by the spectator reminded her of abuse the Williams sisters were subjected to at the same event.

Serena and Venus Williams were the victims of verbal abuse at the tournament in the Californian desert back in 2001.

The siblings' father, Richard Williams, claimed he had been racially abused at Indian Wells, while Venus Williams said she "heard whatever he heard".

Daniil Medvedev, who will concede his status as world number one back to Novak Djokovic from next week, said he can relate to how Osaka felt after recently hitting out at the "disrespectful" crowd at the Australian Open.

"I didn't see it with my own eyes, and I didn't watch the videos after, so I just heard it from someone who heard from someone, so I don't want to go too much into it," he said.

"It's tough for everybody because I can feel for Naomi. I mean, I felt not great in Australia. 

"You know they're [the players] getting millions. They should be ready for everything. At the same time, we're humans. We all make mistakes, good decisions. 

"Sometimes we feel bad. Sometimes we feel good. I can understand that Naomi didn't feel that great when she heard it and I can completely understand her feelings.

"Life would be easier if everybody would be calm and not angry but, even talking about me, I get angry, so I should be better also."

Novak Djokovic will return to the top of the ATP rankings after Daniil Medvedev fell to a brilliant Gael Monfils comeback at the Indian Wells Open.

Medvedev was beaten 4-6 6-3 6-1 by Frenchman Monfils, with the reigning US Open champion only able to connect on 50 per cent of his first serves, while he was broken three times in the decider.

For Monfils, the win earns him a spot in the fourth round against Carlos Alcaraz, while the loss means Medvedev will lose his position as world number one after only two weeks.

Speaking to post-match media, Medvedev said while he will work hard to earn the top-ranking back, starting in Miami next week.

"Is it better to be number one for, let’s say one week in your life, or never touch it?" he said. "I think it's still better to at least touch it.

"Now I know I'm going to lose it, so I have Miami to try to get it back. [I'm] usually feeling a little bit better in Miami in terms of tennis, so I'll try to play good there.

"I thought it could give me more motivation, well, I had motivation. It's just that I didn't find my best tennis."

Rafael Nadal offered his sympathy to Sebastian Korda after scraping past the 21-year-old, who considers his Indian Wells Masters opponent "my biggest idol".

Korda had trained with Nadal earlier this week before the draw paired the two together – an eagerly awaited encounter for the younger man.

Korda is such a big Nadal fan his cat is named after the Spaniard, but he caused some concern for the 21-time major champion and his other supporters on Saturday.

Having talked up the meeting, it looked as though the occasion might get the better of Korda as he quickly fell 4-0 down in the opener.

Nadal had not dropped a set since victory at the Australian Open – one of three tournaments he has entered this year and three tournaments he has won.

But that perfect 15-0 record suddenly came under threat in the second set, as Korda sought to prolong his dream match-up and stunned his hero 6-1.

Suddenly, Nadal was forced to face down one of his biggest fans in a decider and initially struggled badly, falling two breaks down, with Korda serving for the match at 5-2.

This time the nerves did get to Korda, who lost four games in a row before stopping the rot to reach a tie-break.

There, Korda did briefly hold a mini-break lead, but that was only as part of a sequence of five consecutive mini-breaks that took the match away from him, Nadal prevailing 6-2 1-6 7-6 (7-3).

"I feel very, very lucky today to be through, honestly," Nadal said afterwards.

Korda could at least enjoy his consolation prize: compliments from Nadal, who had won their only prior meeting en route to his 2020 French Open title.

"Sebastian was playing some fantastic tennis and I'm sorry for him," Nadal said. "He had chances, but that's tennis.

"He's very young, he has an amazing future. I wish him all the best."

Up next for Nadal is Dan Evans, whose compatriot Cameron Norrie – the defending Indian Wells champion – also advanced with a straight-sets win over Pedro Martinez.

Daniil Medvedev has officially been crowned as the ATP's new world number one.

The Russian, who claimed his first grand slam title at the US Open last year and reached this year's Australian Open final, only to lose to Rafael Nadal, has been sure of his place at the top of the rankings since Novak Djokovic's shock defeat to Jiri Vesely in the Dubai Tennis Championships last week.

Medvedev was aiming to cap off a sensational week by claiming victory at the Mexican Open, but the 26-year-old lost to eventual champion Nadal in the semi-finals in Acapulco.

Here, Stats Perform looks at the numbers behind Medvedev's rise to number one.

1 - Medvedev is the first player outside of the "big four" of Djokovic, Nadal, Roger Federer and Andy Murray to be crowned number one since Andy Roddick, way back on February 1, 2004 (18 years, three weeks and six days).

198 - At 198cm in height, Medvedev is the tallest player to be crowned world number one.

13 - Medvedev has won 13 Tour-level titles so far.

27 - He is the 27th different ATP world number one. The first was Ilie Nastase, in August 1973.

3 - Medvedev is the third Russian player to reach the top of the ATP rankings, after Yevgeny Kafelnikov (May 1999) and Marat Safin (November 2000).

6 - At 26, Medvedev is the sixth-oldest player to become world number one for the first time in their career.

361 - Djokovic has held the number one spot for 361 weeks in total – a record. It had been 86 weeks since the Serbian was last not at the top of the pile.

Rafael Nadal said he will not measure himself against other players' records until his career is over after adding another trophy to his impressive collection, beating Cameron Norrie in straight sets to lift the Mexican Open.

Nadal continued his undefeated start to 2022 with his third title for the year after beating the British sixth seed 6-4 6-4 in Acapulco on Saturday.

He is now on a run of 15-0 this season, claiming his 91st ATP Tour crown along the way.

It was also Nadal's fourth Mexican Open title, having previously won in 2005, 2013 and 2020.

His recent win at the Australian Open put him clear of Novak Djokovic and Roger Federer on 21 grand slam titles, but he still sits behind Ivan Lendl (94), Federer (103) and Jimmy Connors (109) for ATP tournament victories.

After his win in Mexico, Nadal said he is not concerned about records as long as he is still playing, saying: "At the end of the day, I've always said that this kind of record needs to be measured once your career is over.

"Today the most important thing is that I have won a prestigious tournament."

The 35-year-old's incredible form is all the more impressive considering he was forced to miss last year's US Open to deal with a foot issue that troubled him all the way to the lead-up to January's Australian Open.

"It was complicated, and I ended up taking the victory. Looking back, a few weeks ago this would have looked impossible," he added.

"It's amazing how things can change in such a short span, from not being able to practice and now to be where I am today."

Rafael Nadal continued his remarkable start to 2022 with his third title for the year after beating British sixth seed Cameron Norrie 6-4 6-4 in the Mexican Open final in Acapulco on Saturday.

The 21-time major winner extended his 15-0 winning run for the calendar year, claiming his 91st ATP Tour crown along the way. The triumph was also Nadal's fourth Mexican Open title, having also won in 2005, 2013 and 2020.

Nadal, who beat new world number one Daniil Medvedev in the semi-finals and did not drop a set in Acapulco, won in one hour and 54 minutes over a dogged Norrie.

The 35-year-old's achievements are all the more remarkable considering he was forced to miss last year's US Open to deal with a foot issue which troubled him all the way to the lead-up to January's Australian Open.

Norrie pushed the Spaniard, breaking back late in the second set when trailing 5-2, but the defeat ends his eight-game winning streak after lifting the Delray Beach Open title last week.

The Spaniard made 79 per cent of first serves, winning 71 per cent on them, while he converted four of his five break points for the match in typical ruthless fashion.

Nadal claimed the only break of the first set in the fifth game, capitalising on a trio of misses from Norrie.

Both players broke serve early in the second set, with Norrie leading 2-1 before Nadal rattled off four straight games to serve for the crown.

However, Norrie was not done yet, breaking back and holding serve, before the Spaniard finished the job in his 128th appearance in an ATP decider.

Rafael Nadal continued his tremendous form as he beat Daniil Medvedev in straight sets to set up a final with Cameron Norrie at the Mexican Open.

Nadal found this victory over Medvedev to be more straightforward than his remarkable five-set comeback win in last month's Australian Open final between the pair, winning 6-3 6-3 in Acapulco.

The victory means the Spaniard moves on to 14-0 for the new season, which is already his best ever start to a year.

The soon-to-be world number one Medvedev at least made him work for it in the second set and earned 11 break points across two consecutive service games, but a determined Nadal rescued all 11 of them, including seven in a marathon nine-deuce game at 6-3 3-2.

"I played some amazing points on the break points," said Nadal following the win. "The second set was very emotional. Daniil was playing very aggressive – drop shots, winners. It was a very difficult set. I feel lucky to win that set because he had a lot of chances."

He will now face sixth seed Norrie on Sunday, who also came through his semi-final against third seed Stefanos Tsitsipas in straight sets, 6-4 6-4.

The Brit – who won the Delray Beach Open last week – was particularly impressive on his serve, making 92 per cent of his first serves in the opening set. That dropped to 57 per cent in the second, but the quality of his baseline shots took him to victory.

Meanwhile at the Chile Open, local wildcard Alejandro Tabilo continued his good run, having already knocked out top seed Cristian Garin, with a 6-1 6-4 win over sixth seed Miomir Kecmanovic.

Tabilo will face Pedro Martinez in the semi-finals after the Spaniard won 6-2 6-2 over Yannick Hanfmann.

Sebastian Baez will meet second seed Albert Ramos Vinolas in the other semi-final after he got past Facundo Bagnis 7-5 6-2.

New world number one Daniil Medvedev says Friday's Mexican Open semi-final against Rafael Nadal is his "chance to get my revenge" after last month's epic Australian Open defeat.

Medvedev progressed to the final four in Acapulco on Thursday with a routine 6-2 6-3 victory over Yoshihito Nishioka, while Nadal triumphed 6-0 7-6 (7-5) over Tommy Paul to set up their semi-final meeting.

The Russian's win capped a fine day after Novak Djokovic's loss to Jiri Vesely at the Dubai Tennis Championships meant he would next week become the new world number one for the first time in his career.

Before then, however, Medvedev must take on Nadal in Acapulco, with the pair having not faced off since last month's epic Australian Open decider, where the Spanish fought back from two set downs to clinch a record-breaking 21st major title.

"It’s always special to play against him,” Medvedev said following his win over Nishioka. “Kind of a chance to get my revenge.

“I have to learn from the best, which is him, Roger [Federer], Novak [Djokovic], Andy [Murray]. Always when they were losing a tough fight, they were trying to get their revenge. Sometimes they managed to do it, sometimes not. That’s what I’m going to try to do if I play Rafa."

Medvedev revealed he did not realise that Djokovic's loss would mean he would become number one until he started receiving congratulatory messages on Thursday.

"It’s not easy to play a match when you get this news during the day," Medvedev said.

"The first goal for me was to still win today because I’m here to try to win every match I play. But it’s definitely some great news."

Nadal was full of praise for the new world number one, admitting his excitement at their re-match.

The Spaniard prevailed in five hours and 28 minutes over Medvedev in Melbourne, winning 2-6 6-7 (5-7) 6-4 6-4 7-5 and was ready for the re-match.

"Everybody knows how difficult it is to play against Daniil," Nadal said after Thursday's win over Paul.

"I know I have to play at my highest level if I want to have any chance, and that's what I'm going to try. I have to play my game.

"Everybody knows how difficult the final was in Australia. Tomorrow is going to be another battle.

"I know he's playing well, plenty of confidence... I am excited to play that match."

Rafael Nadal set up a semi-final meeting with new world number one Daniil Medvedev after cruising past Tommy Paul 6-0 7-6 (7-5) at the Mexican Open in Acapulco on Thursday.

The Spanish fourth seed, who won last month's Australian Open against Medvedev in a five-set epic for a record-breaking 21st Grand Slam title, beat the American in two hours and three minutes.

Nadal was at his tenacious best early, winning the first set 6-0 for the second consecutive match, before Paul hit back in the second.

The Spaniard dropped only 10 points in the opening set with errors creeping into his game early in the second set allowing Paul to get 2-1 up a break.

The pair exchanged a string of four games against serve, with Nadal breaking again with Paul serving for the set, before triumphing in the tie-break.

Top seed Medvedev secured his spot in the last four with a 6-2 6-3 victory over Japan's Yoshihito Nishioka.

Medvedev, who will officially become world number one for the first time in his career next week after Novak Djokovic's loss to Jiri Vesely in Dubai, brushed aside the Japanese in one hour and 10 minutes.

The Russian sent down 12 aces and won 69 per cent on his first serve, while he converted six of eight break points across the match.

Third seed Stefanos Tsitsipas will meet Briton Cameron Norrie in the other semi-final after both triumphed on Thursday.

Tsitsipas won his quarter-final against Marcus Giron 6-3 6-4 in one hour and 17 minutes, while sixth seed Norrie made light work of Peter Gojowczyk 6-1 6-0.

At the Chile Open in Santiago, local top seed Cristian Garin was stunned by countryman Alejandro Tabilo 6-3 6-3.

Sixth seed Miomir Kecmanovic won 6-2 6-0 over Matheus Pucinelli de Almeida, while Yannick Hanfmann eased past Thiago Seyboth Wild 6-1 6-3.

Rafael Nadal hopes Alexander Zverev's withdrawal from the Mexico Open will "serve as a lesson" for him and other players when it comes to controlling their emotions on the court.

The world number three was pulled out of this month's tournament in Acapulco following an outburst where he hit the umpire's chair with his racquet in a tirade following a doubles defeat.

The ATP subsequently barred him from competition for a second-round singles clash, with several leading players, including Novak Djokovic, condemning the German's actions.

Speaking ahead of his own quarter-final this week, Nadal - who won a record-breaking 21st Grand Slam in at the Australian Open last month - stated he hoped the 24-year-old and other young players would learn that such behaviour is not acceptable.

"It's unfortunate, without a doubt," the Spaniard said. "I feel sorry for him as I have a good relationship with Alexander.

"In the end, he deserves the sanction because you can't act in this way.

"I think Sascha is aware of that and I hope this will serve as a lesson for him and for other young players who sometimes lose control on the court.

"I am not going to enter into what is or is not fair in terms of sanction," Nadal said. "But in the end you have to stop that type of attitude from becoming fashionable."

Zverev had been due to face Peter Gojowczyk in a singles encounter before he exploded at the end of his match with partner Marcelo Melo against Lloyd Glasspool and Harri Heliovaara.

Following an over-ruled decision from the umpire that handed the latter pair match point in a super tie-break, the duo decided the game with an ace the very next serve.

That led to Zverev smashing his racquet against the umpire's chair on multiple occasions in quick succession, punctured by a foul-mouthed tirade.

The Tokyo 2020 champion subsequently apologised for his behaviour. The Mexico Open continues until February 26.

Rafael Nadal sealed his 12th consecutive win of the new season after a straight sets victory over Stefan Kozlov at the Mexican Open.

Nadal's 12-0 record to begin the year is the best of his illustrious career, and he never looked in any trouble as he eased to a 6-0 6-3 win against the American to advance to the quarter-finals in Acapulco.

The Australian Open champion's next opponent will be Tommy Paul after he beat Dusan Lajovic 7-6 (8-6) 2-6 7-5.

"A little bit of a strange match," Nadal said following his win. "Kozlov has a different style than most other players, so you need to be very careful. Sometimes you are able to win points in a row, but then if you start to play at his rhythm, it's very difficult because he has great control from the baseline and he's very smart."

Number one seed Daniil Medvedev is also safely through after comfortably defeating Pablo Andujar 6-1 6-2, and he will now go up against Yoshihito Nishioka after his victory against Feliciano Lopez.

Stefanos Tsitsipas managed to finish his match against J.J. Wolf in less than 48 minutes as he romped to a 6-0 6-1 win, while his quarter-final opponent Marcos Giron had a much tougher time of it getting past eighth seed Pablo Carreno Busta 6-7 (7-9) 6-4 7-6 (7-4).

Cameron Norrie also came from a set down to beat John Isner 6-7 (2-7) 6-3 6-4, and the sixth seed will now face Peter Gojowczyk after the German received a walkover following his compatriot Alexander Zverev being "withdrawn" from the singles competition after attacking the umpire's chair at the end of his defeat in the doubles.

Meanwhile, in the Chile Open, second seed Albert Ramos-Vinolas beat fellow Spaniard Carlos Taberner 6-2 7-6 (7-4) and will face eighth seed Facundo Bagnis in the quarter-finals after the Argentinian secured a win against Hugo Dellien 6-2 6-2.

Thiago Monteiro fought hard to get past third seed Federico Delbonis with a 3-6 6-4 6-1 victory, and will go up against seventh seed Sebastian Baez in the last eight, who defeated Juan Ignacio Londero 6-3 6-3.

Rafael Nadal equalled the best start to a season in his career after winning his first match at the Mexican Open on Tuesday.

In his first match since a record 21st grand slam title in Australia, Nadal was a comfortable 6-3 6-2 winner over Denis Kudla, dropping only four points on serve.

Nadal is now 11-0 for the season, equalling the start he made in 2014, when his winning run was ended by Stan Wawrinka in the Australian Open final.

"I think I started playing well, a good victory in straight sets. That's always very positive for the confidence," said Nadal. "I think I played a very solid match for the first day.

"Of course, there are a couple of things that I can do better, but in general terms, I played well, so I can't complain at all."

Daniil Medvedev, who had also not played since the final in Melbourne, came through a tougher contest against Benoit Paire 6-3 6-4 in his opening match in Acapulco.

Medvedev held a two-set lead and looked in control before Nadal came roaring back to claim the Australian Open title, but the Russian could claim a landmark achievement in his first tournament since that heartbreak.

Medvedev, who faces Pablo Andujar next, will become world number one if he wins in Mexico, regardless of Novak Djokovic's performances in Dubai.

"It's always not easy to come back after some rest and some time off competition," he said. "I felt like my sensations were not at the top today, but I managed to fight until the end against a very tough opponent, and I'm happy that I managed to win."

Stefanos Tsitsipas racked up the 200th win of his career, holding off Laslo Djere to win two tie-breaks. He will now face J.J. Wolf, who surprised Lorenzo Sonego by fighting back from a set down to win 3-6 7-6 (9-7) 6-2.

Cameron Norrie was a straight-sets winner over Daniel Altmaier, while Yoshihito Nishioka battled through against veteran Feliciano Lopez.

Tommy Paul progressed after Matteo Berrettini retired when the American was poised to tie the match at one set all. John Millman also had to call an early halt to his match with Marcos Giron after a freak accident on court in which the Australian accidentally hit a ball into his eye.

At the Chile Open, home favourite Alejandro Tabilo beat Renzo Olivo in straight sets, while fifth seed Federico Coria was earlier knocked out by Yannick Hanfmann.

Miomir Kecmanovic defeated Marco Cecchinato, while there were also wins for seeds Sebastian Baez and Facundo Bagnis.

World number one Novak Djokovic has praised Rafael Nadal for his "incredible" triumph by winning last month's Australian Open after his own deportation forced him to miss the event.

Nadal moved beyond Djokovic with his record-breaking 21st Grand Slam title in Melbourne with a five-set victory over Daniil Medvedev in the final.

Djokovic was unable to compete in Melbourne due to his vaccination status, deported amid an ugly saga after arriving in Melbourne expecting to be permitted to play.

The Serbian, who returned to the ATP Tour on Monday with a 6-3 6-3 win over Lorenzo Musetti at the Dubai Tennis Championships, was gracious in praising Nadal, who had a nagging foot injury dog him late last year.

"I think it was four, five months ago that he was on the crutches and now he's winning a slam. It's incredible," Djokovic told reporters after beating Musetti.

"I've got tons of respect for him. I don't want to take anything away from his victory, me not participating in the tournament regardless."

The Serbian was pressed on missing the Australian Open and added: "Of course, it wasn't a pleasant feeling for me leaving the country the way I did and watching the tournament from far away."

Djokovic will play either Karen Khachanov or Alex de Minaur in the second round in Dubai, while Nadal is competing at the Mexican Open, with a match against Denis Kudla on Tuesday.

World number one Novak Djokovic has praised Rafael Nadal for his "incredible" triumph by winning last month's Australian Open after his own deportation forced him to miss the event.

Nadal moved beyond Djokovic with his record-breaking 21st Grand Slam title in Melbourne with a five-set victory over Daniil Medvedev in the final.

Djokovic was unable to compete in Melbourne due to his vaccination status, deported amid an ugly saga after arriving in Melbourne expecting to be permitted to play.

The Serbian, who returned to the ATP Tour on Monday with a 6-3 6-3 win over Lorenzo Musetti at the Dubai Tennis Championships, was gracious in praising Nadal, who had a nagging foot injury dog him late last year.

"I think it was four, five months ago that he was on the crutches and now he's winning a slam. It's incredible," Djokovic told reporters after beating Musetti.

"I've got tons of respect for him. I don't want to take anything away from his victory, me not participating in the tournament regardless."

The Serbian was pressed on missing the Australian Open and added: "Of course, it wasn't a pleasant feeling for me leaving the country the way I did and watching the tournament from far away."

Djokovic will play either Karen Khachanov or Alex de Minaur in the second round in Dubai, while Nadal is competing at the Mexican Open, with a match against Denis Kudla on Tuesday.

World number one Novak Djokovic has praised Rafael Nadal for his "incredible" triumph by winning last month's Australian Open after his own deportation forced him to miss the event.

Nadal moved beyond Djokovic with his record-breaking 21st Grand Slam title in Melbourne with a five-set victory over Daniil Medvedev in the final.

Djokovic was unable to compete in Melbourne due to his vaccination status, deported amid an ugly saga after arriving in Melbourne expecting to be permitted to play.

The Serbian, who returned to the ATP Tour on Monday with a 6-3 6-3 win over Lorenzo Musetti at the Dubai Tennis Championships, was gracious in praising Nadal, who had a nagging foot injury dog him late last year.

"I think it was four, five months ago that he was on the crutches and now he's winning a slam. It's incredible," Djokovic told reporters after beating Musetti.

"I've got tons of respect for him. I don't want to take anything away from his victory, me not participating in the tournament regardless."

The Serbian was pressed on missing the Australian Open and added: "Of course, it wasn't a pleasant feeling for me leaving the country the way I did and watching the tournament from far away."

Djokovic will play either Karen Khachanov or Alex de Minaur in the second round in Dubai, while Nadal is competing at the Mexican Open, with a match against Denis Kudla on Tuesday.

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