A spirited fightback from Nick Kyrgios saw the Australian beat second seed Stefanos Tsitsipas in the Halle Open on Wednesday.

Kyrgios suffered a disappointing semi-final defeat to Andy Murray in Stuttgart last week, but looked greatly improved against Tsitsipas as he recovered from a set down to win 5-7 6-2 6-4.

It was the second serve of both men where Kyrgios shone, winning 76 per cent (28 of 37) of points on his second serve, and 58 per cent (23 of 40) on his opponent's.

"Stef is one of the best players in the world at the moment and he's going to have some amazing results and I'm sure many, many grand slams," Kyrgios said following his win.

"I don't know if I can say the same for me, but I'm happy to still be able to produce this level with the tournaments I play. It is a testament to how hard I do work when I'm not playing."

He will face Pablo Carreno Busta in the quarter-finals after the Spanish sixth seed beat Sebastian Korda 6-4 0-6 6-3.

Elsewhere, Hubert Hurkacz will face Felix Auger-Aliassime in the last eight after defeating Ugo Humbert 7-6 (7-5) 6-3, while the Canadian also won in straight sets against Mackenzie McDonald 7-6 (9-7) 6-1.

The one remaining first round match saw number one seed Daniil Medvedev beat David Goffin 6-3 6-2 to set up a second round clash with Ilya Ivashka.

At the Queen's Club Championships, sixth seed Denis Shapovalov was eliminated by Tommy Paul 6-4 2-6 6-4, with the American now scheduled to face Stanislas Wawrinka in the second round.

It means that six of the eight seeds in west London were knocked out in the first round, with Matteo Berrettini and Marin Cilic the only remaining seeds. The latter sealed his place in the quarter-finals on Wednesday with a 7-6 (8-6) 7-5 win over Alexander Bublik.

Cilic will play Finland's Emil Ruusuvuori in the last eight after he beat home favourite Jack Draper 6-2 7-6 (7-2).

The best contest of the day came between Alejandro Davidovich Fokina and Alex de Minaur, with the former coming from behind to win 4-6 6-4 7-5 to set up a quarter-final with Botic van de Zandschulp, who beat Grigor Dimitrov 7-6 (7-5) 6-3.

Daniil Medvedev is one match away from winning his first title of 2022 after beating Adrian Mannarino in straight sets to reach the Rosmalen Grass Court Championships final.

Defending champion Mannarino had won eight matches in a row at the ATP 250 event, which was last held in 2019, but he fell 7-5 7-5 to Medvedev in a match lasting a little under two hours.

Top seed Medvedev, whose most recent appearance in a final came at the Australian Open in January, will now face home favourite Tim van Rijthoven on Sunday.

"Adrian plays good, and some games in this match I was like: okay, I can't do anything," said Medvedev, who will reclaim top spot in the ATP rankings next week.

"I had to just continue playing my tennis. He was unbelievable sometimes, missing sometimes, so I just continued my game, and it managed to work today."

Medvedev was far from his best against flat-hitting Mannarino, with the first set featuring five breaks of serve, but the 26-year-old did enough to edge in front.

After wasting a chance to serve out the match in the 10th game of the second set, Medvedev edged a mammoth 11th game and avoided any sort of scare to advance through.

The Russian will next face a different sort of test against Van Rijthoven after the Dutch wildcard stunned second seed Felix Auger-Aliassime earlier on Saturday.

Van Rijthoven, who had not won a match at tour level until his opening-round win over Matthew Ebden, prevailed 6-3 1-6 7-6 (7-5) in a thrilling semi-final.

After sharing the first two sets, Van Rijthoven wasted six break-point opportunities in the decider, but he held his nerve in the tie-break to keep his dream run going.

He is the first Dutchman to reach the final in 's-Hertogenbosch since Raemon Sluiter in 2009.

Andy Murray claimed his first win over a top-five opponent since 2016 as he stunned Stefanos Tsitsipas to reach the Stuttgart Open semi-finals.

Murray started his preparations for the grass-court swing with a run to the semi-finals of the challenger at Surbiton.

He knocked off seventh seed Alexander Bublik to reach the last eight in Stuttgart but a meeting with the top seed and world number five represented a much more imposing challenge.

It was one the two-time Wimbledon champion rose to emphatically, winning a first-set tie-break and then claiming the second set in comfortable fashion to cement a 7-6 (7-4) 6-3 win, gaining revenge for his contentious five-set defeat to the Greek at last year's US Open.

Murray's previous win over a top-five opponent came in the ATP Finals six years ago, when he defeated Novak Djokovic in a year that also saw him win Wimbledon.

"I thought I did well. He served unbelievably in the first set," Murray said in his on-court interview.

"I felt like I had very few chances, but when he was creating chances on my serve, I stayed strong.

"I played a really solid tie-break and in the second set, once I was in the rallies, I felt like I was dictating a lot of the points. It was a good performance."

Murray is up to 53rd in the live ATP rankings and is bidding to get back into the top 50 for the first time since 2018. 

Standing between him and a place in the final is Nick Kyrgios, who was 7-6 (7-3) 3-0 up when Marton Fucsovics retired from their quarter-final clash.

Matteo Berrettini beat Lorenzo Sonego in three sets, while Oscar Otte won by walkover against Benjamin Bonzi.

At the Rosmalen Grass Court Championships in 's-Hertogenbosch, Daniil Medvedev saw off Ilya Ivashka 7-6 (10-8) 6-4.

Medvedev, who will soon return to world number one when the ranking points from the French Open come into effect, sees the grass-court season as a chance to cement his grip on that spot.

"I don't have many points to defend on grass and I have some to win, so hopefully I can play well, starting here," said Medvedev. "Every round is points and the higher you get, the more you need to step up."

He will face defending champion Adrian Mannarino in the semi-finals, while second seed Felix Auger-Aliassime is into a last-four clash with home hope Tim van Rijthoven after beating Karen Khachanov. 

Daniil Medvedev started his grass-court season with victory over Gilles Simon in the Rosmalen Grass Court Championships, while Hubert Hurkacz and Denis Shapovalov suffered shock defeats in Stuttgart.

Medvedev will replace Novak Djokovic at the top of the rankings next Monday and the Russian could celebrate by claiming a first title of the year in ‘s-Hertogenbosch.

The top seed, who will not compete at Wimbledon due to a ban on Russian and Belarusian players, beat Frenchman Simon 7-5 6-4 on Thursday after saving three set points and storming back from 5-2 down in the opener, setting up a quarter-final against lya Ivashka.

Felix Auger-Aliassime, the second seed, defeated Tallon Griekspoor 7-6 (7-2) 7-6 (7-5), but third seed Taylor Fritz was beaten by wildcard Tim van Rijthoven in straight sets.

Alex de Minaur and Jenson Brooksby also made early exits, losing to French duo Adrian Mannarino and Hugo Gaston respectively.

Marton Fucsovics claimed the scalp of third seed Hurkacz to reach the last 16 at the Stuttgart Open, winning 7-5 6-7 (7-) 6-3

Shapovalov also lost his opening of the grass-court season, Oscar Otte getting the better of the fourth seed 7-6 (8-6) 7-6 (7-4)

There was no such trouble for top seed Stefanos Tsitsipas, who beat Dominic Stricker 6-3 6-4, and Andy Murray accounted for seventh seed Alexander Bublik in straight sets.

Sixteen years after their rivalry began with a Roland Garros quarter-final, Rafael Nadal and Novak Djokovic will do battle again in the last eight of the French Open.

Nadal promised he will be "focused" for the big occasion, set to come on Tuesday, while Djokovic said he was ready for "a physical battle, along with everything else".

They could hardly have had more contrasting wins to set up that eagerly awaited match, however, with Djokovic enjoying a 6-1 6-3 6-3 Sunday stroll past Diego Schwartzman, before Nadal was pushed almost to his limit by Felix Auger-Aliassime, scraping a 3-6 6-3 6-2 3-6 6-3 victory in four hours and 21 minutes.

Auger-Aliassime has Nadal's uncle, Toni Nadal, on his coaching team now, but the 21-year-old Canadian played down that factor before the match, and it was a mere sideshow to the spectacle that unfolded.

Now Nadal and Djokovic can prepare for centre stage. The illustrious pair have never collided as early as the quarter-final stage at any other grand slam, but their clash in Paris will be a third such last-eight clash at the French major.

All matches considered, it will be a 59th career meeting, with Djokovic up to now holding a 30-28 lead in the head-to-head.

Nadal leads 10-7 in their grand slam matches, however, and has a 7-2 record in their Roland Garros past encounters, albeit losing the last of those in last year's semi-final.

The very first match between the pair came at Roland Garros in the 2006 quarter-finals, when Djokovic retired at 6-4 6-4 behind, giving up due to a back injury during the first game of the third set.

Nine years later, Djokovic thrashed Nadal 7-5 6-3 6-1 at the same stage to end the Spaniard's five-year all-conquering reign on the French capital's clay courts.

Djokovic called the upcoming reunion "a well-anticipated match", and he was delighted to get the job done quickly against an overwhelmed Schwartzman. The world number one has yet to drop a set in four matches in Paris, and that follows on from his triumph at the Internazionali d'Italia in Rome where he raced to the title without dropping a set either.

Assessing the Nadal prospect, Djokovic said: "I'm glad that I didn't spend too much time on the court myself up to the quarter-finals, knowing that playing him in Roland Garros is always a physical battle, along with everything else."

The "everything else" element of that may mean the feverish backing that Nadal is likely to receive, but Djokovic wants his tennis to do the talking.

"It's a huge challenge and probably the biggest one that you can have here in Roland Garros," said the Serbian. "I'm ready for it. I like the way I have been feeling, the way I have been hitting the ball. I will focus on what I need to do."

This is a first match of the year between Djokovic and Nadal. They have played each other at least once every year since that 2006 first encounter.

After describing Auger-Aliassime as "without a doubt one of the best players in the world", Nadal, who is again battling the foot problem that has plagued his career, turned his focus to the man who surely currently tops that list.

Nadal is nevertheless one ahead of Djokovic on the all-time list of most grand slam titles, having won the Australian Open in January when Djokovic was prevented from competing to move to 21 major successes.

Booing broke out when Djokovic's name was mentioned in Nadal's post-match on-court interview, an early indication that the record 13-time French Open champion will have the crowd's support.

"Of course we know each other well. We have a lot of history together," Nadal said. "He came here after winning Rome, and for me it has been not the ideal situation to arrive here.

"But here we are in Roland Garros, it is my favourite place without a doubt, and the only thing I can tell you is I will be focused. I don't know what will happen, but the only thing I can guarantee is I am going to fight until the end."

The last time Nadal and Djokovic met so early in any tournament was in May 2016 on clay in Rome, when Djokovic beat Nadal in straight sets but went on to lose to Andy Murray in the final.

Since then there have been four semi-finals and five finals between the pair, Nadal edging those matches five wins to four. This is knife-edge tennis, not to be missed.

Rafael Nadal set up the blockbuster quarter-final against Novak Djokovic that the French Open has been waiting for, but he was pushed all the way by Felix Auger-Aliassime.

The 13-time champion emerged as a winner by a 3-6 6-3 6-2 3-6 6-3 scoreline in four hours and 21 minutes of dramatic duelling on Court Philippe-Chatrier.

Those inside the stadium court roared with the fervour of football supporters as Nadal crossed the winning line, a day after watching his beloved Real Madrid beat Liverpool in the Champions League final at the Stade de France.

If defending champion Djokovic watched this, he would have observed chinks in the Nadal armour, but the great Spaniard's commitment to his craft remains resolute. He hates losing, could not abide the thought of tumbling out in the fourth round, and duly pulled out every stop to avoid that happening.

Looking ahead to the tussle with Djokovic, Nadal said afterwards: "I don't know what will happen, but the only thing I can guarantee is I am going to fight until the end."

Nadal dropped serve in the fourth game of the match and again in the sixth to trail 5-1, and he began the recovery from there, snatching a break back.

Although he had been unable to retrieve the opening set, Nadal was suddenly dialled in. At 35, coming up for 36 in the coming week, he is 14 years Auger-Aliassime's senior and has a dodgy foot, but Nadal's movement was somehow still that of a young man.

From 3-3 in the second set, Nadal won six of the next seven games to take command, soon snatching a second break in set three as he accelerated away from a player who until this year had never won a match at Roland Garros.

Making it to the fourth round signifies progress on Auger-Aliassime's part but facing the master of these courts was always a tall order. It was to the ninth seed's enormous credit that he gave the match a fresh twist by breaking twice early in the fourth set and forcing the decider.

At 4-3 in the fifth, on serve, Nadal had a break-point opportunity and his tiring legs carried him to stunning heights when he moved Auger-Aliassime into trouble at the net with a delicious, dipping backhand, and then dashed towards the net to dink a winner out of his opponent's reach.

This time Auger-Aliassime did not come back. On match point in the next game, Nadal sent a forehand into an open court after manoeuvring Auger-Aliassime out of position once more, and it brought the house down. He now has 109 wins from 112 singles matches at this tournament.

Data slam: Nadal goes the distance, finds a way

Only three times has Nadal played a fifth set at the French Open, and he has won them all, defeating John Isner in the 2011 first round and Djokovic in the 2013 semi-finals, and now Auger-Aliassime.

WINNERS/UNFORCED ERRORS

Nadal – 47/41
Auger-Aliassime – 50/54

ACES/DOUBLE FAULTS
Nadal – 3/4
Auger-Aliassime – 7/4

BREAK POINTS WON
Nadal – 6/22
Auger-Aliassime – 4/9

Rafael Nadal lost a first set at Roland Garros for the first time since 2018 as he went behind to Felix Auger-Aliassime.

Canadian Auger-Aliassime took the opening set of the pair's fourth-round match at the French Open 6-3.

It put Nadal, a 13-time champion at Roland Garros, on the back foot as he hunted a win that will tee up a quarter-final tie against Novak Djokovic, who defeated Diego Schwartzman earlier on Sunday.

And, according to ATP Media, it was the first time Nadal has lost an opening set at the French Open in four years, when he went behind to Schwartzman in the quarter-finals.

Nadal came back to win that match 4-6 6-3 6-2 6-2 en route to clinching his 11th Roland Garros success, and the second of four on the bounce.

Like in 2018, Nadal hit back to win the second set 6-3 against Auger-Aliassime, hauling himself level after a disappointing start.

Toni Nadal's loyalties will be split between nephew Rafael and current charge Felix Auger-Aliassime after the French Open served up a delicious last-16 clash.

Known popularly on the tour as Uncle Toni, the man who was at superstar Nadal's side for so many of his greatest triumphs signed up to coach Canadian Auger-Aliassime last year.

Nadal and 21-year-old Auger-Aliassime have had just one past competitive meeting, three years ago on clay in Madrid, but they will go head to head in Paris in the fourth round, and the prospect could hardly be more appetising.

According to Rafael Nadal, who says he has "zero problem" with the scenario, Uncle Toni "wants the best for me".

But Toni Nadal has been hired by Auger-Aliassime, so in theory, he should want the best for the man who grew up in Quebec, too.

Auger-Aliassime earned a hard-fought 7-6 (7-3) 7-6 (7-2) 7-5 win over Serbian Filip Krajinovic on Friday, while Nadal fended off Dutchman Botic van de Zandschulp for the loss of only nine games.

There is seemingly no prospect of the Nadals staying away from one another ahead of the tussle.

"I already talked with Toni after my match," said Rafael Nadal after sinking the hopes of Van de Zandschulp.

"For me, it's very simple. He's my uncle. I don't think he will be able to want me to lose, without a doubt, but he's a professional and he's with another player.

"I don't know what's gonna happen, if he's gonna stay in the box or not, but I don't care. I have zero problem with that. So it's not a story at all for me. I know what the feelings are that we have between each other. I know he wants the best for me."

Nadal said he had no issue with Uncle Toni working for another player, adding: "He's old enough to make his own decisions, no?

"I can't thank him enough for all the things that he did for me during so many years. I don't have any problem with any position that he's making. I want the best for him, and he wants the best for me. We are family more than anything else.

"Not only family; we are a family that stay together all the time. We are in the same village. We spend time in the academy together. We lived incredible emotions together. So he's not only an uncle. He's more than that."

All of which may have made for interesting listening for Auger-Aliassime, who has joined Nadal in the world's top 10 since their meeting three years ago, with the Canadian at a career-high ninth in the rankings.

Auger-Aliassime's clay-court form has been patchy this season, and it would be a major surprise if he took the scalp of the 13-time French Open champion, who is defying ongoing foot pain to keep his career going.

Toni Nadal joined Frederic Fontang in Auger-Aliassime's coaching set-up, and it may be the latter who does much of the tactical planning for the next match.

"I don't know if I need insight on how Rafa plays, to be honest," said Auger-Aliassime. "I think we all know what he does well.

"It was black and white from the first time we started working together. We knew it was a possibility that eventually I would play Rafa when I'm working with Toni. And actually now he's present here in this grand slam. But I think Toni will watch from a neutral place and enjoy the match.

"From my part it's another match, another opportunity to try to play a good match and win, but of course it's very difficult. I don't know how Toni feels. Maybe we should ask him, but he hasn't talked to me about it."

Auger-Aliassime called for observers to consider the "bigger picture", and what Toni and his nephew, the record-holding 21-time men's grand slam winner, achieved together.

"It's one match, let's play, but his career and everything is much bigger than this," said the Canadian.

Felix Auger-Aliassime proved no match for Novak Djokovic, who looks well set to claim his first title of 2022.

It has been a frustrating season to date for the Serbian, who reached a final in Belgrade last month before being beaten by rising star Carlos Alcaraz in Madrid earlier in May.

Yet with Rafael Nadal out of the picture, Djokovic is the clear favourite heading into the Internazionali d'Italia semi-finals, after he beat Auger-Aliassime 7-5 7-6 (7-1) on Friday.

The win not only tees up a semi-final against Casper Ruud, who saw off Nadal's conqueror Denis Shapovalov 7-6 (9-7) 7-5, but also ensures Djokovic will spend a 370th week at the top of the ATP rankings, after he slipped below Daniil Medvedev in the live standings.

Djokovic will add 360 points to his total for reaching the last four, and he now has a milestone 1,000th Tour-level win in his sights when he takes on Ruud for a place in the final. The 34-year-old has won a record 37 Masters 1000 titles so far in his career, including five in Rome.

"I thought it was high-level tennis," Djokovic said. "[Auger-Aliassime] did ask me to raise the level and I had to play consistently well.

"I thought I could have finished the job earlier, but credit to him for fighting back. 

"I know Felix well. He's been around the top of the men's game for quite a few years. He's got a lethal serve, honestly. He's hitting his spots in the box incredibly well with the serve, and it was not easy for me at all to return.

"He's also returning well, he's moving well. He's a very complete player."

The other semi-final will see second seed Alexander Zverev, who beat Cristian Garin 7-5 6-2, take on Stefanos Tsitsipas.

Greek Tsitsipas overcame Jannik Sinner 7-6 (7-5) 6-2, becoming the first player to reach 30 wins on the ATP Tour in 2022.

"We have similar game styles but he is one of the most difficult players to play against on the Tour," Tsitsipas said, previewing his clash with Zverev.

"I have a lot of respect for him. He has achieved a lot so far and I try and look up to him with the things he has achieved."

Rafael Nadal suffered his earliest Internazionali d'Italia exit since 2008 at the hands of Denis Shapovalov on Thursday, but Novak Djokovic advanced to the quarter-finals. 

'King of Clay' Nadal fell to a 1-6 7-5 6-2 defeat to Shapovalov in the third round in Rome, with the Canadian surging to victory after winning 12 straight points from 2-2 in the deciding set. 

The legendary Spaniard stormed through the first set thanks to a series of brilliant returns, but his opponent dominated at the net in the second to take the match the distance. 

Shapovalov then flipped the narrative on its head by winning 14 of a possible 22 return points to set up a quarter-final meeting with Casper Ruud, who beat Jenson Brooksby 6-3 6-4. 

Djokovic is one win away from retaining his status as world number one after taking just 75 minutes to see off three-time grand slam winner Stan Wawrinka 6-2 6-2. 

After a lengthy spell out injured, Wawrinka ended a 15-month wait for an ATP Tour victory at Foro Italico before the Serbian brought his run to an end. 

"It is great to see Stan back and winning. He won two tough matches. You can see he is still not physically where he wants to be. But, nevertheless, he is Stan Wawrinka and he can hurt you if you give him time," Djokovic said. 

"I managed to do well from the beginning. I really moved him around the court and held my serve comfortably except for that loss of my serve in the second set." 

Felix Auger-Aliassime stands between Djokovic and the number one spot after overcoming lucky loser Marcos Giron 6-3 6-2. 

In the other half of the draw, Stefanos Tsitsipas and Jannik Sinner will play out an entertaining quarter-final after they beat Karen Khachano and Filip Krajinovic respectively. 

Alexander Zverev, the defeated finalist in Madrid last week, beat Alex De Minaur 6-3 7-6 (7-5) and will battle Cristian Garin for a place in the final four.

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.

Rafael Nadal saved four match points before seeing off David Goffin 6-3 5-7 7-6 (11-9) to book his place in the Madrid Open quarter-finals.

A five-time champion in the Spanish capital, Nadal is looking to match Novak Djokovic's career record of 37 ATP Masters 1000 titles this week.

Returning to action for the first time since losing to Taylor Fritz in the Indian Wells final, after which he discovered he had a stress fracture of a rib, Nadal was taken all the way by Goffin.

Indeed, the Belgian qualifier won four straight games from 5-3 down in the second set to force a decider, but he saw four opportunities to advance to the quarter-finals go begging.

Nadal subsequently prevailed to reach his 99th Masters 1000 quarter-final, setting up a last-eight showdown with teenage compatriot Carlos Alcaraz.

Birthday boy Alcaraz, who turned 19 on Thursday, celebrated with a hard-earned 6-4 6-7 (4-7) 6-3 victory over Britain's Cameron Norrie.

Defending champion Alexander Zverev reached his fifth successive quarter-final at this event after beating Lorenzo Musetti, who retired with a thigh injury shortly after losing the opening set, at 6-3 1-0 down.

Next up for Zverev is Felix Auger-Aliassime, the Rotterdam Open champion, who is targeting a first clay-court Masters 1000 semi-final. Auger-Aliassime won 90 per cent of points on first serve in a commanding 6-1 6-2 victory over Jannik Sinner.

Stefanos Tsitsipas also produced a strong-serving display in his 6-3 6-4 triumph over Grigor Dimitrov. Last season’s French Open runner-up hit 10 aces along the way.

The fourth seed set up a showdown with Andrey Rublev, who had eight aces as he overcame Dan Evans 7-6 (9-7) 7-5.

Meanwhile, Hubert Hurkacz will play Djokovic in the last eight after hitting 16 aces in his 7-5 6-3 win over Dusan Lajovic. Djokovic's much-anticipated clash with Andy Murray was called off, with the Briton unwell, handing his Serbian rival a walkover.

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. 

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.

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