Andrey Rublev avenged a recent straight sets loss to Dan Evans in convincing fashion on Friday, advancing through to the fourth round with a 6-4 6-2 6-3 victory.

Rublev's serve was the dominant force in the match, not conceding a single break as he saved all four of Evans' break point opportunities.

He finished with 10 aces to Evans' three, and created 15 break point opportunities of his own, securing four.

When speaking to the media after his win, Rublev said his recent defeat against Evans in July's Montreal Open was still fresh in his mind and he was thrilled to turn the tables this time.

"I'm happy with my game today, especially because last time I lost to him in straight sets," he said. "So I took the revenge.

"I'm really happy – I mean, the first set wasn't amazing, but was not that bad. I was just serving well, I was not doing something special.

"As soon as I was able to win the first set, I started to feel a relief, I started to feel more confident, I started to feel I can go for extra speed to raise a level.

"As soon as I did it, I started to feel even more confident, because I started to feel that this game, he cannot control. He was not able to do something – he started to stress more, and I started to feel it."

Rublev has never been past the quarter-finals of a grand slam, and when asked what has been holding him back, he said it was obvious.

"It's easy, and I think it's obvious – it's the mental part," he said. "That's it. Because game-wise, I think I have a good game to fight against top players, to play and compete."

The world number six will play world number 10 Holger Rune in the fourth round, with a place in the last eight on the line.

Rublev feels he is just as dangerous as his 19-year-old opponent because they both have "nothing to lose".

"He's a young guy, super talented," Rublev said. "He has nothing to lose for the moment, because he was going from underdog position all the time.

"But this year, we'll see. It's going to be challenging for him, and I have nothing to lose against him next time, because he was the one who won our first match, so he will feel a bit of pressure."

Iga Swiatek dragged Poland into the semi-finals of the United Cup with inspired performances in her singles and doubles matches against Italy.

Poland trailed after Lorenzo Musetti and Matteo Berrettini secured wins against Daniel Michalski and Hubert Hurkacz respectively, only for Swiatek and Magda Linette to level things with respective singles victories over Martina Trevisan and Lucia Bronzetti.

That sent the Brisbane city final to a decider in the mixed doubles, which Swiatek and Hurkacz won with ease 6-1 6-2 against Musetti and Camilla Rosatello, though there was a pause in the second set to dry rainfall on the court.

Despite defeat, Italy also advanced to the final four as the city finals loser with the best record.

It was more routine in Sydney as the United States eased to a 4-1 win against Great Britain.

Madison Keys came from a set down to beat Katie Swan, while Jessica Pegula eased past Harriet Dart 6-2 6-0 after Cameron Norrie had defeated Taylor Fritz in three sets.

Despite going a set behind, Frances Tiafoe came back to beat Dan Evans 3-6 7-5 6-3 to clinch the win for his country, before Pegula and Fritz added some gloss after beating Dart and Evans in the mixed doubles.

The third city final in Perth included a thriller as Greece's Stefanos Tsitsipas beat Borna Coric 6-0 6-7 (4-7) 7-5. Donna Vekic had no trouble getting Croatia on the board as she eased past Despina Papamichail 6-2 6-0.

Maria Sakkari put Greece 2-1 ahead when she beat Petra Martic 6-3 6-3, but Borna Gojo defeated Stefanos Sakellaridis in straight sets to make it 2-2.

However, Greece secured the win and their place in the last four after the pairing of Sakkari and Tsitsipas saw off Martic and Gojo 7-6 (8-6) 6-4.

Greece will take on Italy in the semi-finals, while Poland face the USA, with both taking place in Sydney on Friday.

Novak Djokovic and Casper Ruud were made to work hard for victory in their opening matches at the Paris Masters on Tuesday.

For Djokovic, a 10th win in a row came in an absorbing battle with his Paris-born American opponent Maxime Cressy, who displayed a typically aggressive approach on serve, with 15 aces and 10 double faults overall.

Djokovic was strong on his own delivery, however, with the Serbian losing just six points on serve and not facing a break point on his way to a 7-6 (7-1) 6-4 victory.

"I'm happy with the way I played," Djokovic said. "When chances were presented, I was able to use them, even though I did have some missed break points.

"But it was very challenging, first match with a guy who serves extremely well and strong and fast.

"He's comfortable coming to the net. It's nice to see. I think he's the only guy that really comes to the net after every first and second serve. I think it's good for tennis to see that, particularly in these modern times when most of the players are playing from back of the court. He's a very athletic guy.

"It's difficult to play him definitely in these kind of conditions where balls are flying through the court and it's quicker than it was last year. So tough to break.

"But I didn't make too many unforced errors. I'm very pleased with the way I served, with the way I was holding my service games. Just the way I felt, the way I played, it was all positive."

Third seed Ruud ground out a 6-1 7-6 (9-7) victory against Frenchman Richard Gasquet, with the Norwegian saving three of four break points in what proved to be a tightly fought contest.

Mistakes from Gasquet were ultimately costly, the veteran having 10 unforced errors in the second set compared to Ruud's two.

Seventh seed Andrey Rublev was also victorious, the Russian winning 6-2 6-3 against American John Isner, while the British duo of Jack Draper and Dan Evans progressed to the last-32 stage, beating Arthur Rinderknech and Brandon Nakashima respectively.

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).

Stan Wawrinka rolled back the years for a glorious victory over Casper Ruud at the Swiss Indoors, joining fellow veteran Andy Murray in putting on a show in Basel.

Former world number one Murray pulled off a remarkable win over Russian Roman Safiullin, winning five games in a row from 4-1 behind in the final set.

But that was just a tease for the excitement that followed, as Wawrinka, who like Murray won three grand slam titles in his prime, felled second seed Ruud in straight sets.

The 37-year-old Swiss delighted his home crowd with a 6-4 6-4 victory over this season's French Open and US Open runner-up, serving nine aces as he defied a world ranking of 194th to produce some of his old magic.

Murray has fallen away from the elite ,too, but at 49th in the world he is not far away from rejoining that pack, although defeat looked to be beckoning against Safiullin.

The 35-year-old Scot fist-pumped with relief at recovering the break of serve that Safiullin snatched early in the decider, and Murray hit a service winner on his second match point to seal a 6-7 (5-7) 6-3 6-4 success.

The victory for two-time Wimbledon winner Murray took him to 26 wins this season, the most he has had in a single campaign since pulling off an astounding 78 victories in 2016, the year he won at the All England Club for a second time, landed a second Olympic gold medal and finished top of the rankings.

Murray said of his win: "As the match went on, I started to dictate a few more points and served better."

Quoted on the ATP website, he added: "I changed the way I was returning a little bit, and when I did that, I was able to create a few more opportunities and frustrate him a little bit."

Pablo Carreno Busta scored a 6-2 6-1 win against Argentinian Sebastian Baez, with Alex Molcan, Dominic Stricker and Botic van de Zandschulp also advancing to the last-16 stage.

At the Vienna Open, Murray's fellow British players Cameron Norrie and Dan Evans both went through to the second round, Norrie beating Argentina's Pedro Cachin 3-6 6-2 7-6 (7-1) and Evans fending off Germany's Oscar Otte 6-4 7-6 (7-3).

Canadian left-hander Denis Shapovalov beat Austrian wildcard Jurij Rodionov, but the home crowd had something to celebrate when former US Open champion Dominic Thiem continued his resurgence by eking out a 2-6 7-6 (7-2) 7-6 (8-6) victory against American Tommy Paul, saving two match points.

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.

Cameron Norrie fought back from a first-set loss against Aslan Karatsev to advance into the quarter-finals of the Stockholm Open, keeping hopes of qualifying for next month's ATP finals alive.

Norrie's return to action, having withdrawn from last month's Korea Open with illness, was not plain sailing as Karatsev won the first set tie-break 10-8 to put the Brit under pressure.

However, the 27-year-old responded by taking the next two sets 6-3 6-4 to seal safe passage, helped by six first-serve aces, which also maintains his hopes of a spot in November's finals and sets up a tie against 19-year-old Holger Rune.

Top seed Stefanos Tsitsipas was given a sterner test by Maxime Cressy before eventually securing a spot in the quarter-finals 7-6 (7-5) 7-6 (14-12) in a two-hour contest, while Denis Shapovalov also beat Antoine Bellier in straight sets.

The number one seed is through at the European Open in Antwerp as well as Hubert Hurkacz toppled Jack Draper 7-6 (7-5) 6-7 (5-7) 6-1.

Britain's Dan Evans eased into the final eight after securing a 6-2 6-1 victory against Constant Lestienne, while there were also victories for Yoshihito Nishioka and Richard Gasquet.

Elsewhere, sixth-seed Sebastian Baez was a 7-5 7-6 (7-3) winner against Lorenzo Sonego in the Napoli Open, where Roberto Carballes Baena and Corentin Moutet were among the other victors.

Holger Rune maintained his impressive form by beating Thiago Monteiro in straight sets to reach the second round of the Stockholm Open on Monday.

Rune was beaten by Marc-Andrea Huesler in the final of the last tournament he entered in Sofia following a quarter-final appearance in Metz.

The Danish teenager, who last week announced Patrick Mouratoglou had joined his team for the rest of this season, defeated Monteiro 7-5 6-2 on his debut in the Swedish capital.

Rune did not face a break point and won 86 per cent of points on his first serve as he booked a meeting with Cristian Garin.

Garin beat qualifier Jason Kubler 6-2 6-4, while Maxime Cressy and Aslan Karatsev advanced to the last 16 at the expense of Ilya Ivashka and Lukas Rosol respectively.

Richard Gasquet consigned Stan Wawrinka to an early exit at the European Open, coming from a set down to win 2-6 7-6 (7-4) 6-4 in a battle of two of the most experienced players on the circuit.

Fifth seed Dan Evans beat Tallon Griekspoor 6-3 6-4 in the first round in Antwerp, while his fellow Brit Jack Draper was an emphatic 6-1 6-2 winner against Jenson Brooksby of the United States.

Carlos Alcaraz was dumped out of the Astana Open in the first round on Tuesday, suffering a surprise 7-5 6-3 defeat to David Goffin.

Goffin entered the draw as a lucky loser after squandering two match points to lose his final qualification match against Luca Nardi on Sunday, but he produced a fine display to see off the world number one in one hour and 46 minutes. 

The Belgian had to rediscover his composure to take the opener after throwing away a 5-2 lead, but ultimately deserved his straight-sets win over the US Open champion. 

Speaking on court after his victory, Goffin said: "I always believe that I have the level to cause some trouble against those guys. 

"When you play against the world number one on a big stage, big crowd, the fire inside gives you so much power to play your best tennis because you don't have any choice."

Stefanos Tsitsipas was the only other seed in action in Kazakhstan on Tuesday, and he advanced to the round of 16 by beating home favourite Mikhail Kukushkin 6-3 6-4.

The Tokyo Open also lost its top seed, as Casper Ruud fell to a 6-3 6-3 loss to Jaume Munar, who claimed his first top-10 win since beating Alexander Zverev in 2019.

But the likes of Borna Coric and Nick Kyrgios fared better, claiming straight-sets wins over Thanasi Kokkinakis and Tseng Chun-hsin, respectively.

Wimbledon runner-up Kyrgios only dropped four further points on his serve after being forced to save a break point in his opening service game, racing to a dominant 6-3 6-1 win.

Elsewhere, eighth seed Dan Evans fought back to beat Radu Albot 6-7 (3-7) 6-1 6-4, and Alex de Minaur lost 6-3 6-2 to Kwon Soon-woo. 

Yoshihito Nishioka knocked fifth seed Dan Evans out of the Korea Open with a straight-sets victory on Tuesday.

Nishioka moved into the second round in Seoul with a 6-2 7-6 (7-3) defeat of the Briton.

The world number 56 from Japan will face Taro Daniel or Emilio Gomez in round two after winning 70 per cent of points on his first serve and breaking Evans four times.

Jenson Brooksby was forced to go the distance, but delivered a final-set bagel as the eighth seed saw off Wu Tung-lin 7-6 (7-5) 3-6 6-0.

Qualifier Nicolas Jarry will take on top seed Casper Ruud after defeating Ryan Peniston 6-3 7-6 (10-8), while American duo Mackenzie McDonald and Steve Johnson also advanced.

Tseng Chun-hsin progressed with Chris O'Connell retired with an injury after losing the first set before Kwon Soon-woo beat Yunseong Chung in an all-South Korean contest.

Local hope Brandon Nakashima will take on Marcos Giron in the San Diego Open final after the latter shocked top seed Daniel Evans in Saturday's semi-finals.

World number 58 Giron upset Evans 6-3 7-5 in one hour and 46 minutes, qualifying for his maiden ATP Tour final.

San Diego native Nakashima progressed into the decider after getting past Australian Christopher O'Connell 6-4 7-6 (7-3).

Nakashima's triumph means he is into his first tour-level final of the season and it has come in familiar territory.

The fifth seed needed one hour and 50 minutes to beat O'Connell, who had the edge in the key statistics, including 8-7 aces, 34-31 winners and 13-16 unforced errors.

But Nakashima came up big when it mattered, managing the only break of the match in the first set, before triumphing in a tiebreak.

Giron produced the surprise result against world number 25 Evans, who was chasing his first-ever ATP Tour title.

The American sent down 11 aces, while he also hit 40-25 winners. Evans was unable to convert any of the three break points he generated throughout the match.

Top seed Daniel Evans is through to the last four at the San Diego Open after defeating Constant Lestienne 6-1 6-3 in Friday's quarter-final

It was perhaps a closer contest than the final score indicates, with Evans creating 13 break point opportunities while Lestienne created 11, but the Englishman was able to save 10 of the 11 he faced while converting five himself.

Ultimately the difference between the two players was Evans' ability to avoid wasteful errors, posting 23 winners with 12 unforced errors while Lestienne had 15 winners with 21 unforced errors.

Evans will play third seed Marcos Giron for a spot in the final after the American beat Australia's James Duckworth 7-6 (7-5) 6-3.

It was a match that was decided by the efficiency of Giron, who was more accurate with his serve, landing 59 per cent of his first serves fair compared to 47 per cent for Duckworth.

The Australian actually created more break point chances – eight to three – but while he converted two of his eight chances, Giron turned all three into breaks.

While the top half of the draw played out as the seeding predicted, there was an upset in the late window as Christopher O'Connell eliminated second seed Jenson Brooksby 6-4 4-6 7-5.

The Australian had a clear serving advantage, smacking 14 aces compared to four for Brooksby, and he also racked up a massive 50 winners with 16 unforced errors. Brooksby had 24 winners with 21 unforced errors.

Despite being the better shot-maker on the day, O'Connell had to save two match points to keep his chances alive, and then broke Brooksby as the American tried to serve it out, rattling off four consecutive games to end the match.

O'Connell will face Brandon Nakashima in the semi-final after he emerged victorious 6-3 4-6 6-4 against Daniel Elahi Galan.

Nakashima has now won five of his past six matches, with the only loss in that stretch coming against Jannik Sinner in the US Open.

Top seed Daniel Evans eased into the San Diego Open quarter-finals with a straight-sets victory over Taro Daniel on Thursday.

The Briton, who was beaten by Marin Cilic last month in the US Open third round, triumphed 6-4 6-4 in one hour and 38 minutes over Daniel.

World number 25 Evans was not broken once despite Daniel generating four break points, while the Briton only had nine unforced errors for the match, hitting 19 winners.

Evans' return was excellent throughout, while he won 64 per cent on his second serve, which held him in good stead as he looks to claim a career-first ATP title after making August's Canadian Open semi-finals.

Evans will take on Frenchman Constant Lestienne who made light work of Chilean Alejandro Tabilo 6-1 6-3, converting five of eight break points.

Fifth seed Brandon Nakashima triumphed in the late game, getting past fellow American Denis Kudla 6-3 6-4 in one hour and 16 minutes, in a fine display that included 12 aces, 25 winners and only five unforced errors.

Fourth seed Pedro Martinez was the major casualty of the day, letting slip an early lead to lose 5-7 6-1 6-4 to Colombian Daniel Elahi Galan in almost three hours. Galan hit 44 winners compared to Martinez's 28, while he also generated 18 break points.

Eighth seed J.J. Wolf was also bundled out, losing 6-3 7-5 to Australian Christopher O'Connell who sent down 12 aces and hit 23 winners.

Second seed and world number 50 Jenson Brooksby needed almost two hours to get past countryman Mackenzie McDonald 6-4 3-6 6-2.

Taro Daniel has booked a matchup against top overall seed at the San Diego Open Daniel Evans after defeating Emilio Nava 6-4 6-3 in the opening round on Tuesday.

Daniel started beautifully, securing a break in the first game of the match, and his superior returning ability would carry him through the first set, winning 51 per cent (21-of-41) of his return points in the opening frame.

It was Daniel's serve which controlled the second set, winning 80 per cent (16-of-20) of his service points while allowing no break point opportunities for Nava, finishing the job in 94 minutes.

He will play world number 25 Evans next, who he has beaten in two of their past three meetings, although they have only gone head-to-head once since 2015 – in 2019, when Daniel won in straight sets.

Meanwhile, Mitchell Krueger ended a three-match losing streak against American compatriot Christopher Eubanks with a 6-4 6-4 triumph.

Eubanks had the power advantage, winning the ace count nine-to-four and the winner count 25-to-18, but he was also far sloppier, committing all four of the match's double faults as well as totalling 20 unforced errors to Kreuger's four.

In a clash between two veterans, 30-year-old Denis Kudla proved to be too much for 38-year-old Fernando Versaco, winning 6-3 6-3 to relegate the Spaniard to four losses from his past five matches.

In the final match of the night, Brandon Nakashima overcame Zachary Svajda 7-5 7-6 (7-5) after a gruelling 69-minute second set, contesting 96 points in the second frame after 66 in the first.

Hubert Hurkacz will contest the second ATP 1000 final of his career after coming from a set behind to defeat world number five Casper Ruud 5-7 6-3 6-2 in the semi-final of the Canadian Open on Saturday.

It was an interesting clash of styles going into the contest, with Hurkacz expected to rely on his dominant serve, while Ruud is one of the game's top returners, so when Ruud responded to an early break and was the one serving up a storm, it spelled trouble for the world number 10.

Ruud landed 78 per cent of his first serves in the opening set, compared to 60 per cent for Hurkacz, and the Norwegian won 95 per cent of those points (20-of-21) to allow just one break point in the frame while creating four for himself.

As Ruud's serve began to falter – with his first serve accuracy and effectiveness both cratering in the second and third set – his game began to struggle to hold up to the metronomic consistency of Hurkacz, who won the ace count 18-to-eight.

After pulling the match even at one set each, Hurkacz took the contest by the scruff of the neck and won the first four games of the deciding frame to pull away.

Poland's Hurkacz – who won his only previous ATP 1000 final against Jannik Sinner at the 2021 Miami Open – will now face Pablo Carreno-Busta in the decider after the Spaniard prevailed in a three-hour war of attrition against Daniel Evans 7-5 6-7 (7-9) 6-2.

In a match that was close in every area, Carreno-Busta was slightly better, winning 68 per cent (68-of-100) of his service points compared to 60 per cent (66-of-110) for Evans, while committing just one double fault compared to the Englishman's six.

It will be Carreno-Busta's first ATP 1000 final appearance, with the 2021 Hamburg Open – an ATP 500 event – the only career title for the 31-year-old above the ATP 250 level.