World number one Carlos Alcaraz was stunned in the Swiss Indoors Basel semi-finals as Felix Auger-Aliassime set up a final clash with Holger Rune.

Auger-Aliassime saw off the US Open champion in just 82 minutes as he won 6-4 6-3 to take his unbeaten run to 12 matches.

The Canadian was in irresistible form on Saturday, with his shot placement in decisive moments proving far more consistent and lethal than his counterpart, hitting 23 winners to Alcaraz's eight.

Twenty-two-year-old Auger-Aliassime is still fighting to qualify for the ATP Finals for the first time and victory in Sunday's final will move him up to sixth in the rankings having won each of his two previous tournaments in Antwerp and Florence.

"It's amazing," Auger-Aliassime said. "I never expected it, when I was in Florence three weeks ago, or after the US Open. I'm just really happy that all my work is coming together.

"I've always believed that I can play this way, that I can be consistent in that way, but one thing is to believe and the other is to actually do it. It's nice to feel that way, it's nice to come out on the court and win that many matches in a row. So hopefully this is just the beginning of seeing me play this way."

Rune awaits after the Dane beat Roberto Bautista Agut 7-6 (7-1) 7-6 (10-8) despite being 6-2 down in the second-set tie-break. He will move into the top 20 for the first time as a result of that win.

The final of the Vienna Open will be contested by Daniil Medvedev and Denis Shapovalov, who came through their respective semis in straight sets.

Top seed Medvedev was exceptional against Grigor Dimitrov, with the Russian's serve proving especially important in his 6-4 6-2 win.

Medvedev won 87 per cent of points on his first serve to leave Dimitrov frequently struggling for momentum, and the former world number one recognised that impact.

"The serve is probably the most important shot in tennis," he said. "I was lacking it a little bit this season, I was doing too many double faults. Sometimes in important moments my serve could have been a little bit better. I was working a lot with my coach to try and find this rhythm [again], and so far I'm serving good here. I'm really happy about it and that's also why I'm playing so good."

Shapovalov ultimately romped to an impressive win over Borna Coric.

A tight first set was followed by the Croatian getting bageled as Shapovalov won 7-6 (7-4) 6-0 to reach his second final of the year.

World number one Carlos Alcaraz is through to the semi-finals of the Swiss Indoors Basel after easing past Pablo Carreno-Busta in straight sets.

Alcaraz took just under an hour and 40 minutes to overcome his fellow Spaniard and friend 6-3 6-4, getting 67 per cent of his first serves in and winning 77 per cent of those.

Carreno-Busta struggled to keep the US Open champion at bay, facing 12 break points in all, and although he saved nine of them, his defiance was ultimately in vain.

"It is difficult to play against a friend like Pablo," Alcaraz said on-court after his win on Friday. "Every day we go and have dinner, lunch, together. Every week and we train together, so it is difficult to play against him.

"I also support him and want him to win every match. On court, there are no friends. You have to be focused and go for the match and that is what I did."

Alcaraz will face third seed Felix Auger-Aliassime in the final four after the Canadian defeated Alexander Bublik 6-2 6-3.

The other semi-final will see Roberto Bautista Agut play Holger Rune after the Spaniard beat Stan Wawrinka 7-5 7-6 (7-5) and the Danish teenager defeated Arthur Rinderknech 7-6 (7-0) 6-2.

In Austria, top seed at the Vienna Open Daniil Medvedev beat Jannik Sinner 6-4 6-2 to advance to the last four, where he will play Grigor Dimitrov after the Bulgarian overcame Marcos Giron 6-3 4-6 6-4.

The winner of that contest will face either Denis Shapovalov, who beat Dan Evans 6-3 6-3, or Borna Coric after the Croatian came through against Hubert Hurkacz 6-4 6-7 (2-7) 7-6 (7-5).

Stefanos Tsitsipas crashed out of the Vienna Open after losing in a dramatic third-set tie-break against Borna Coric, who claimed his third successive win over the Greek ace.

The second seed was the highest-profile casualty in the Austrian capital on Thursday, as he succumbed to the Croatian once more 4-6 6-4 7-6 (7-4).

Coric rescued six match points before stunning Tsitsipas at the 2020 US Open, while he also triumphed when they collided in the Cincinnati showpiece in August.

The world number 27's chances of completing a hat-trick of victories appeared bleak at a set and break down, but he rallied to force a decider that went the distance, before holding his nerve for another notable win.

Coric's reward is a quarter-final clash with Hubert Hurkacz, who boosted his chances of qualifying for next month's ATP Finals with a 7-5 4-6 6-3 win over Emil Ruusuvuori.

Daniil Medvedev advanced to the last eight after a 6-3 6-3 victory over home favourite Dominic Thiem. Next up for the top seed is Jannik Sinner after the Italian saw off Francisco Cerundolo 7-5 6-3.

Third seed Andrey Rublev's ATP Finals hopes were dented after a 6-3 6-4 defeat by Grigor Dimitrov, who will play Marcos Giron after the American overcame seventh seed Cameron Norrie in straight sets.

Over in Basel, third seed Felix Auger-Aliassime required just 49 minutes to complete a commanding 6-1 6-0 rout of Miomir Kecmanovic for his 10th straight ATP win.

Meanwhile, Stockholm champion Holger Rune continued his momentum by recording a seventh straight victory after seeing off Ugo Humbert 6-4 6-2.

Sixth seed Roberto Bautista Agut enjoyed a straight-sets win over three-time grand slam champion Andy Murray to set up a clash with home favourite Stan Wawrinka, who outlasted Brandon Nakashima in a deciding set.

Daniil Medvedev set up a second-round showdown with home favourite Dominic Thiem at the Vienna Open after defeating Nikoloz Basilashvili in straight sets on Wednesday.

The top seed broke early and late in both sets as he cruised through the opening round a 6-2 6-2 winner.

Next up for Medvedev is a clash with former US Open champion Thiem, who beat him in the semi-finals on the way to triumphing at Flushing Meadows two years ago.

Stefanos Tsitsipas overcame local wildcard Dennis Novak 7-6 (7-2) 6-2 as the Greek ace seeks a third final in as many weeks, having lifted the title in Astana and finished as runner-up to Holger Rune in Stockholm.

Jannik Sinner also advanced in straight sets against Cristian Garin, but Taylor Fritz's ATP Finals hopes suffered a blow after the fourth seed was beaten 6-1 4-6 6-3 by Denis Shapovalov.

Over in Basel, world number one Carlos Alcaraz sailed through to his 11th quarter-final of the season after a commanding 6-4 6-2 win over Botic van de Zandschulp.

Meanwhile, Felix Auger-Aliassime recovered from losing the opening set to deny Marc-Andrea Huesler. The third seed claimed a career-best ninth successive ATP Tour victory, as he looks to complete a hat-trick of titles in as many weeks having recently reigned in Florence and Antwerp.

Stockholm champion Rune built on his recent momentum with a 6-2 7-5 success over Alex de Minaur, but Naples winner Lorenzo Musetti was ousted in a deciding set by Albert Ramos-Vinolas. 

Felix Auger-Aliassime clinched the European Open title by beating Sebastian Korda in straight sets in Antwerp, replicating last week's Firenze Open triumph to maintain his strong run of form.

Auger-Aliassime swept aside J. J. Wolf to emerge victorious in Italy a week ago, and was in control from the start on Sunday as he beat another American to win his third ATP title of the year.

The Canadian seized the initiative when he broke Korda's serve to go 4-2 up in the opener, before saving two break points early in the second set.

Korda failed to conjure up another opportunity to break as Auger-Aliassime wrapped up a routine 6-3 6-4 win by holding to love.

Auger-Aliassime has responded brilliantly to his first-round exit at the Astana Open earlier this month, winning eight consecutive matches – six of them in straight sets.

Meanwhile, the 22-year-old has now won three of his past four ATP Tour finals, failing to drop a set in any of those victories after losing each of his first eight final appearances.

Auger-Aliassime's victory also represented a major boost to his hopes of reaching next month's ATP Finals in Turin, strengthening his grip on the final qualification spot for the tournament.

Matteo Berrettini is set to tackle Davis Cup team-mate Lorenzo Musetti in an all-Italian Napoli Cup final on Sunday after defying advice to pull out with a foot injury.

Former Wimbledon runner-up Berrettini beat American Mackenzie McDonald 3-6 7-6 (7-2) 6-3 at the hard court event, while Musetti came through 6-3 6-4 against Serbian Miomir Kecmanovic.

Providing Berrettini is healthy to participate in the final, the tournament looks set to deliver a crowd-pleasing trophy match, but it was touch and go whether the Rome native would get through the McDonald match.

"I don't even know how I did it," Berrettini said. "I wasn't feeling very good. I asked for the physio because my foot was hurting. It happened so many times in my career that I had to fight through so many things, not just thinking about the tennis ball."

He added, quoted by the ATP: "I didn't want to retire. My team told me, 'I think you should stop'. But I tried and I found a way."

Berrettini and Musetti have never gone head-to-head before. Berrettini has won two titles this year, both on grass, in Stuttgart and at London's Queen's Club, while 20-year-old Musetti scooped his maiden ATP title on clay in Hamburg.

At the European Open in Antwerp, Sunday's final will see American Sebastian Korda tackle Canadian Felix Auger-Aliassime, in a battle of two in-form players.

Korda was runner-up last week in Gijon, while Auger-Aliassime took the title in Florence, adding to his Rotterdam triumph from February.

Korda wrestled his way past a recently resurgent Dominic Thiem, scraping a 6-7 (4-7) 6-3 7-6 (7-4) victory, before Auger-Aliassime was given a mighty battle by veteran Frenchman Richard Gasquet, winning through in two tight sets, 7-6 (7-2) 7-6 (7-3) his margin.

Like Berrettini and Auger-Aliassime, Greece's Stefanos Tsitsipas has a third title of the year in his sights this weekend.

Tsitsipas swept through to the final of the Stockholm Open with a 6-2 6-2 win over Finland's Emil Ruusuvuori, setting up a clash with 19-year-old Danish player Holger Rune.

For Rune, there was no such straightforward path into the final as Alex de Minaur pushed him all the way, with the Australian eventually edged out 4-6 7-6 (7-1) 7-5 after two hours and 50 minutes.

Dominic Thiem saved three match points before beating Hubert Hurkacz for the first time to reach the semi-finals of the European Open on Friday.

Thiem was on the brink of being knocked out by the top seed in Antwerp, but fought back to win 3-6 7-6 (11-9) 7-6 (7-4).

The 2020 US Open champion fended off all three match points in a second-set tie-break to take a thrilling quarter-final the distance and then came out on top in another breaker to advance.

Thiem will do battle with Sebastian Korda for a place in the final after the American emphatically defeated eighth seed Yoshihito Nishioka 6-0 6-2.

Richard Gasquet moved into the last four at the expense of David Goffin and will face Felix Auger-Aliassime, who came from a set down to beat Dan Evans.

Matteo Berrettini remains in the hunt to win the Tennis Napoli Cup on home soil after a 6-2 6-3 quarter-final triumph over Taro Daniel.

Top seed Pablo Carreno Busta crashed out in Italy, losing 7-5 6-2 to Miomir Kecmanovic, who will face Lorenzo Musetti after he got the better of Daniel Elahi Galan. Mackenzie McDonald will come up against Berrettini after getting past Zhang Zhizhen.

Stefanos Tsitsipas sealed a Stockholm Open semi-final spot with a 7-5 6-3 win over Mikael Ymer and will take on Emil Ruusuvuori, who eliminated Frances Tiafoe.

Holger Rune and Alex de Minaur meet in the other last-four match in the Swedish capital following wins over Cameron Norrie and Denis Shapovalov respectively.

J.J. Wolf was no match for Felix Auger-Aliassime in the final of the Firenze Open, as the Canadian won 6-4 6-4 in Florence.

Auger-Aliassime is targeting a place in the end-of-season ATP Finals and took a huge step towards securing such a spot on Sunday.

The top-seeded 22-year-old only dropped one set throughout the tournament and has now won his second ATP Tour-level title.

His victory over Wolf, the world number 75 who will rise to 56 on Monday, took only one hour and 41 minutes.

"It never gets old. Winning, it always feels like the first time," Auger-Aliassime, the new world number 10, said in his on-court interview.

"It's so special to win, especially here. I had a fantastic week and it's been amazing.

"Every final is tough, it's the two best players of the week. Of course you try to win more than you lose the finals, and that's why I came out here today ready to give everything.

"We had some very tough rallies in the second set, feeling tough physically. But you keep pushing, try to keep the level high.

"But there's no magic. Sometimes you win, sometimes you lose, but of course I'm really happy because I came here [as] the first seed.

"I was the favourite in all of my matches on paper. It's never an easy position, so to come out and win my four matches with confidence and conviction, it's really good for my confidence."

Wolf saved nine of the 12 break points he offered yet could not make any inroads against Auger-Aliassime's serve, with the champion winning without conceding on his service game.

Andrey Rublev set up a final meeting with Sebastian Korda at the Gijon Open, overcoming Dominic Thiem in straight sets in the last four.

The world number nine battled through an up-and-down opener before remaining patient to seal the second set and the match on Thiem's serve, taking a 6-4 6-4 victory.

Russian Rublev has now won eight successive sets of tennis against the 2020 US Open champion, and he is one win away from his fourth title of 2022 after triumphs in Belgrade, Dubai and Marseille.

Speaking on court after the win, Rublev said: "I was lucky I played a really good game and Dominic helped me out a little bit.

"Then I felt more confident and I was able to win in two sets, which was the most important thing. This week I have been playing really well, and I'll try to show my best tennis of the week tomorrow."

Korda will be Rublev's opponent on Sunday after the American saw off France's Arthur Rinderknech for a 7-6 (7-2) 6-3 win.

Meanwhile, at the Firenze Open, top seed Felix Auger-Aliassime saw off home favourite Lorenzo Musetti 6-2 6-3, moving one step closer to a second ATP Tour title.

The Canadian will face JJ Wolf in the final in Florence, after the American clinched a 6-4 6-4 win over Sweden's Mikael Ymer.

Andy Murray's run at the Gijon Open came to an end with a three-set loss to Sebastian Korda on Friday, dashing his hopes of a semi-final appearance in Spain.

Murray earned his fourth Tour-level quarter-final spot of 2022 by beating Pedro Cachin, but American Korda defeated the former world number one 6-4 1-6 6-1.

Korda will face Arthur Rinderknech in the last four after he upset second seed Pablo Carreno Busta, taking an epic final-set tie-break to triumph 4-6 6-3 7-6 (18-16).

The other side of the draw will play host to an enticing semi-final meeting between Dominic Thiem and top seed Andrey Rublev after they secured straight-sets wins over Francisco Cerundolo and Tommy Paul respectively.

Thiem said after his 6-4 6-3 triumph over Cerundolo: "From the first match on, I have felt great on this court.

"It is very important for me as I am trying to climb up the rankings. The semi-finals at an ATP event is helping a lot."

Meanwhile, top seed Felix Auger-Aliassime beat Brandon Nakashima 6-3 6-4 to reach the Firenze Open semi-finals, where he will face home favourite Lorenzo Musetti.

The third seed from Italy downed Mackenzie McDonald 6-3 6-2, but fellow seed Alexander Bublik went down 3-6 7-5 6-1 to J. J. Wolf.

Andy Murray overturned a first-set deficit to defeat Pedro Cachin gripping 2-6 7-5 7-6 (7-3) and book his spot in the quarter-finals of the Gijon Open.

The three-time grand slam champion lost a 56-minute opening set but showing his trademark doggedness to defeat his Argentine opponent and earn a fourth Tour-level last-eight berth of the season.

It sets the Briton up with a last-eight encounter against Sebastian Korda after the unseeded American delivered the upset of the day to knock out third seed and home favourite Roberto Bautista Agut in a 5-7 6-4 6-4 triumph.

Elsewhere, first seed Andrey Rublev saw off a fightback from Ilya Ivashka to also book his place in the quarter-finals, with his reward a tie against Tommy Paul.

At the Firenze Open, top seed Felix Auger-Aliassime saw off a second set scare from Germany's Oscar Otte, with the Canadian ultimately triumphing 6-4 6-7 (2-7) 6-2.

He will meet eighth seed Brandon Nakashima, who ran out comfortably in straight sets against Altug Celikbilek with a 6-3 6-4 win.

Third seed Lorenzo Musetti also made smooth work on his own turf, with a 6-3 6-0 demolition job against Bernabe Zapata Miralles, to set up an encounter in the last eight with Mackenzie McDonald.

World number nine Andrey Rublev comfortably beat qualifier Laslo Djere 6-4 6-3 to secure his place in the second round of the Astana Open.

The fifth seed found a crucial break of serve when leading the opener 5-4 to take the first set in Kazakhstan, before winning the next three games to put himself in the ascendancy in the second.

And despite a desperate last stand to stay in the match from Djere, Rublev held serve three times with relative ease to finish off his Serbian opponent.

Eighth seed Felix Auger-Aliassime served 14 aces to Roberto Bautista-Agut's two in their first-round match, but it was the Spaniard who advanced with a 6-4 7-6 (8-6) success.

Meanwhile, world number 10 Hubert Hurkacz overcame Francisco Cerundolo in straight sets.

Adrian Mannarino, the runner-up in Astana in 2020, came from a set down to beat Stan Wawrinka – playing as a wildcard – 1-6 6-2 6-3, and qualifier Zhizhen Zhang romped to victory with a superb third set to seal a 4-6 6-4 6-1 comeback win of his own over Aslan Karatsev.

At the Tokyo Open, fourth seed Frances Tiafoe cruised into the second round with a 6-3 6-4 triumph over Yasutaka Uchiyama, one of three Japanese players who crashed out at the first-round stage of their home tournament.

Uchiyama's countrymen Taro Daniel and Shintaro Mochizuki also tasted defeat at the hands of Bernabe Zapata Miralles and Brandon Nakashima, respectively.

Roger Federer said he felt the pain of Team Europe's first Laver Cup defeat as the World team crashed the Swiss great's farewell party in breathtaking style.

The final event of Federer's playing career veered off the script as he and Rafael Nadal lost in doubles on Friday, before the team collectively succumbed to a 13-8 defeat in London.

Stunning singles wins for Felix Auger-Aliassime and Frances Tiafoe on Sunday, against Novak Djokovic and Stefanos Tsitsipas respectively, followed a doubles thriller that saw Auger-Aliassime and Jack Sock topple Andy Murray and Matteo Berrettini.

After Team Europe won the first four editions of the Laver Cup, this time they had to swallow the bitter pill of defeat, with Federer sorry to sign off on a losing note.

"Of course I'm disappointed," he said. "I was on the team. I almost lost my voice. My hands hurt from clapping.

"So, yes, I am disappointed. We wish the result would be different. I told Andy [Murray] in the locker room, I don't like losing. It's not fun. It just leaves not the best taste, you know. I think once you have been there and taste success, it's just not the same."

He said his goodbye tournament had been a mix of highs and lows.

"This weekend has been all over the place for me," said the 41-year-old Swiss. "I enjoyed it, but it's unfortunate that we couldn't get the win tonight."

Federer denied he has his eyes set on becoming the next Team Europe captain. Incumbent skipper Bjorn Borg and Team World counterpart John McEnroe have indicated next year's match could be the last that they helm, which would create an appealing vacancy.

"No plans there. Bjorn's doing a great job," said Federer. "Who knows, maybe one day, but we don't have any plans so far."

Next year's match takes place in Vancouver, and Federer will certainly have a role of some sort to play, given he is a co-founder of the event.

"I went through all different types of Laver Cups so far: the first one, the winning teams, now this time on the losing team," Federer said. "There was also one where I was hurt last year but seeing it more from the stands and from the fans' perspective, and now deep on the inside with retirement.

"I have enjoyed the Laver Cup in many different ways, and next year again will be totally different. I'm looking forward to it, and I'm sure Vancouver is going to be fantastic."

Asked what he would miss about tennis, Federer said: "Not the losing press conferences, I tell you that. They are the worst."

Felix Auger-Aliassime and Frances Tiafoe played starring roles as Team World won three matches on the spin on Sunday to claim a first Laver Cup triumph over Team Europe.

Team World went into the final day of action at the O2 Arena in London sitting four points behind their opponents, but they produced a stirring fightback to claim the trophy at the fifth time of asking.

Central to their success was Canadian Auger-Aliassime, who beat Novak Djokovic in singles after successfully teaming up with Jack Sock in the doubles.

Holding an 8-4 lead from Saturday, many expected Team Europe to breeze it from there, but John McEnroe's World team had other ideas and earned a 13-8 victory. 

Up first in the doubles were Auger-Aliassime and Sock, who lost the first set to Team Europe's Andy Murray and Matteo Berrettini.

However, the World duo roared back to deliver three points for their team by claiming a 2-6 6-3 10-8 victory.

Djokovic won two matches for Team Europe on Saturday, yet he was powerless to stop Auger-Aliassime in their singles clash. The 22-year-old Canadian landed a 6-3 7-6 (7-3) over the Wimbledon champion.

That moved Team World 10-8 ahead in the overall contest, setting the stage for a decisive clash between Stefanos Tsitsipas and Frances Tiafoe, with a further three points at stake.

Greek Tsitsipas won the first set, but 24-year-old American Tiafoe stormed back to win an epic tie-break in the second on his way to a 1-6 7-6 (13-11) 10-8 success.

Novak Djokovic played a vital role in Team Europe opening up a four-point lead in the Laver Cup as he won in singles and doubles upon his return to the ATP Tour after a three-month absence.

Djokovic had not played since taking his grand slam count to 21 with the Wimbledon title in July, but he looked as if he had hardly been away as the Serbian beat Frances Tiafoe and then teamed up with Matteo Berrettini in the doubles.

Tiafoe beat Rafael Nadal at the US Open earlier this month and combined with Jack Sock on Friday to defeat the Spaniard again in what was Roger Federer's last ever match, but the American could not get to grips with Djokovic in Saturday's final singles contest.

Djokovic's 6-1 6-3 win secured two points for Team Europe to put them out in front, and he was involved again in the last of the day's action as the team's advantage doubled to four points.

Berrettini and Djokovic tussled with Sock and Alex de Minaur and ultimately had too much, winning 7-5 6-2 in less than an hour and a half.

Earlier, Taylor Fritz's three-set triumph over Cameron Norrie put Team World briefly back on level terms.

Fritz made a brutal start but ended up being forced to a match tie-break, eventually coming through with a 6-1 4-6 10-8 victory.

That wiped out the two-point lead Berrettini had given Europe in the first match of the day, with the Italian edging Saturday's most gruelling tussle.

He saw off Felix Auger-Aliassime 7-6 (13-11) 4-6 10-7, and despite finding himself on court for over two hours, Berrettini was still sharp enough to emerge victorious alongside Djokovic.