Andy Murray believes his game will improve in the off-season after the former world number one's 2021 campaign came to an end at the Stockholm Open.

Murray stunned top seed Jannik Sinner on Wednesday, however, the three-time grand slam champion lost 6-2 3-6 6-3 to Tommy Paul in Thursday's quarter-final.

Currently ranked 143rd on the ATP Tour, Murray had warned the days of him progressing deep in tournaments again were on the horizon following his upset of Sinner midweek.

Murray's career has been ravaged by injuries – the 34-year-old underwent hip resurfacing in 2019, but the veteran feels he is on the right track.

"My game will improve, I think, over the off season - I'm pretty clear on the things that I need to work on," said Murray, with his focus now turning to the 2022 Australian Open.

"I need to make sure we get a good plan in place that come the beginning of January those improvements have been made."

Paul needed two hours, 16 minutes to see off Murray at the ATP 250 tournament in Stockholm.

"It was a lot of fun," said American Paul. "He is a legend. I played some of my best tennis today and I even looked over at my coach mid-match and thought it was fun to battle him today.

"It was the game plan to keep him running after his long match [against Jannik Sinner] yesterday. I tried to keep him running. I played tight and stuck to my game plan in the third set."

Sebastian Korda extended his perfect record at the 2021 Intesa Sanpaolo Next Gen ATP Finals, while Brandon Nakashima and Sebastian Baez also made the semi-finals.

Korda, who recorded straight-sets victories in his opening two games, cruised past home favourite Lorenzo Musseti 4-2 4-3 (7-4) 4-2 to reach the last four in Milan.

In Group B's other game, Baez became the first South American in the tournament's history to reach the semi-finals after defeating Hugo Gaston 4-3 (7-2) 4-2 4-2 in 65 minutes.

In a winner-takes-all Group A clash, fourth seed Nakashima rallied from a set down to edge past Holger Rune 3-4 (3-7) 4-1 4-1 4-3 (7-1).

Nakashima, who has now won 11 of his past 13 matches, will meet the undefeated Korda in the next stage.

Carlos Alcaraz had already secured his semi-final berth but maintained his unbeaten record in Thursday's other clash as he overcame Juan Manuel Cerundolo 4-0 4-1 2-4 4-3 (7-3).

With the victory over Argentine Cerundolo, Alcaraz becomes the youngest player to earn 30 tour-level wins in a season since Rafael Nadal, aged 18, did so in 2004.

Sebastian Korda produced an inspired turnaround from two sets down to defeat Hugo Gaston 3-4(2) 3-4(6) 4-0 4-3(3) 4-0 in his opening match at the Next Gen ATP Finals.

The American became only the second player in the history of this event to achieve the feat, after Borna Coric against Karen Khachanov in 2017.

Korda is the second seed in Milan this year following an impressive 2021 that saw him capture his first ATP title at the Emilia-Romagna Open, and reach the Miami Masters quarter-finals and Wimbledon fourth round.

The 21-year-old looked destined to begin Group B with a defeat after losing the opening two sets on tie-breaks, while he also saved match point at 3-2 down in the fourth.

Korda subsequently dominated the final set to complete a remarkable victory in just over two hours.

The world number 39 said: "[I] just stayed calm and kept thinking what I could do better. 

"I did play very well tactically in the first two sets, but I figured a couple of things out during the tie-break and I think that helped me for the rest of the match."

Meanwhile, top seed Carlos Alcaraz enjoyed a straight-sets victory over Holger Rune, prevailing 4-3(6) 4-2 4-0.

The Spanish teenager has also enjoyed a fruitful year on the ATP circuit, triumphing in Umag while beating world number three Stefanos Tsitsipas on the way to reaching the US Open quarter-finals.

And he made the perfect start in Group A; enjoying an 88 per cent first-serve success rate in a commanding win.

"I think it was a great match, both of us played really well," the world number 32 said.

"I am trying to go to the net and play aggressively in the important moments and stay calm. I am trying to do this every match."

Elsewhere, Brandon Nakashima – champion in Brest last month – made it 10 wins from 11 matches as he beat Juan Manuel Cerundolo 4-1 3-4(3) 4-1 4-0.

The 20-year-old, who became the youngest American to reach multiple tour-level finals since Andy Roddick earlier this year, was pegged back in the second set, but dominated the final two to seal victory in just over an hour-and-a-half.

However, there was no joy for home favourite Lorenzo Musetti, who was beaten in four sets by Sebastian Baez.

Though roared on by his home crowd, the world number 58 was unable to deliver in his opening match. Baez – a five-time Challenger Tour winner in 2021 – took full advantage to prevail 4-1 4-1 3-4(5) 4-3(5).

Daniil Medvedev has confirmed he will play at the Australian Open next year, as the debate over vaccine mandates continues.

Medvedev was defeated by Novak Djokovic in the final of this year's tournament, though the Russian has gone on to enjoy a brilliant season.

He has won four titles, including his first grand slam, beating Djokovic at the US Open in September to end the latter's pursuit of a clean sweep of the four majors in 2021.

Djokovic and Medvedev met again on Sunday, with the world number one coming out on top to clinch his sixth Paris Masters title and a record 37th triumph at ATP 1000 events.

Medvedev had appeared non-committal about being vaccinated against COVID-19, which is likely to be a requirement for any player wishing to compete at the Australian Open, but he dispelled doubts around his involvement when he tweeted on Tuesday: "See you in January @AustralianOpen."

While Medvedev will be involved in Melbourne, the participation of Djokovic – who is a nine-time Australian Open champion – is not yet known.

The Serbian has previously appeared hesitant over the coronavirus vaccine mandate, though he has not revealed whether he has been vaccinated or not.

Australia has enforced strict measures throughout the pandemic, with Melbourne having been under lockdown on six occasions since March 2020. Indeed, the city only lifted its most recent restrictions towards the end of October.

Athletes arriving in Australia prior to last year's event had to go through a mandatory two-week hotel quarantine.

Despite Australia's vaccination programme gaining momentum, travellers who are not citizens must be able to provide proof of vaccination and a negative PCR test result, while quarantine regulations vary depending on state rules.

Tennis Australia is reportedly still hopeful of securing a deal for unvaccinated players to compete in the tournament, subject to a two-week quarantine, with prime minister Scott Morrison suggesting players could be granted an exemption. 

On Tuesday, though, Victorian premier Daniel Andrews insisted players will have to be vaccinated.

"I'm not going to have people sitting in the grandstands having done the right thing, only to have millionaire players that ought [to] be vaccinated running around the place being essentially at such higher risk of spreading this – getting it and giving it," he said.

Speaking last month, Djokovic said: "I don't know if I'm going to Australia, I don't know what's going on. Currently, the situation is not good at all.

"Of course, I want to go, Australia is my most successful grand slam, I want to participate, I love this sport, I still have motivation."

Novak Djokovic claimed his sixth Paris Masters title on Sunday, overcoming Daniil Medvedev and gaining revenge for his defeat in the US Open final in the process.

Prior to this week's Masters 1000 event, Djokovic had not played since going down 6-4 6-4 6-4 to world number two Medvedev at Flushing Meadows in September.

That defeat ended Djokovic's hopes of sealing a calendar Grand Slam, but he was in fine form this week as he regained the title he last won in 2019, having not played in the competition last year.

Defending champion Medvedev started the final brilliantly, but Djokovic rallied to win 4-6 6-3 6-3, claiming a record-setting 37th Masters title in the process.

And the world number one explained how he learned from the mistakes he made in New York to prevail this time around, taking his head-to-head record with Medvedev to 6-4 in the process.

"I went back and reviewed the final of the US Open to see what I did wrong and what I did right," Djokovic told the Tennis Channel.

"I tried to read the patterns of his serve and the ball toss, maybe. I tried to look for the small details, because it was a match of small margins."

Reflecting on the showdown in Paris, Djokovic added: "He started better, broke my serve in the first game and I came back. He served the first set out pretty comfortably, but I felt as if I was there.

"I thought it was only a matter of time when I was going to read his serve better and start to make some plays.

"You can't go through him. You have to find a way to play with controlled aggression, play the right shots at the right time and make him come in. It's variety that wins matches against him. We both suffered on the court and there was a lot of gruelling rallies."

Djokovic, who had already secured a record seventh year-end number one, has won 49 matches in 2021, losing on just six occasions.

Novak Djokovic came from a set down to defeat Daniil Medvedev 4-6 6-3 6-3 and win the Paris Masters on Sunday.

Djokovic lost to Medvedev in the US Open final in September, with that defeat ending his hopes of a calendar Grand Slam.

But the Serbian, whose semi-final win over Hubert Hurkacz ensured he will be the year-end world number one for a record seventh time, got his revenge in France.

It marks a fifth title of the year and a sixth triumph at this event for Djokovic, who did not compete in the tournament last year – Medvedev winning it in his place.

The 34-year-old had it far from his own way, with Medvedev instantly going a break up, and although Djokovic hit back to draw level at 2-2, the world number two held off a second break point before nosing himself ahead at 4-3.

Yet having served out the first set at the first time of asking, the US Open champion slipped up in the fourth game of the second as Djokovic reeled off some superb returns, and he did not look back.

With the momentum and crowd on his side, Djokovic broke Medvedev twice in quick succession in the decider, and although he was denied claiming the win on his serve, it merely delayed the inevitable.

Medvedev's powerful serve was not enough, with Djokovic keeping his composure to seal a record-setting 37th Masters 1000 title with a sublime forehand into the corner of the court following a draining rally.

Novak Djokovic will wait until he is retired to assess his stunning feats but recognises rankings records as "the paramount achievement of our sport".

The Serbian will finish the year as the world number one for a seventh time, a new record having previously been tied with Pete Sampras on six.

Djokovic, who also leads the way with 345 weeks at the top all-time, secured his position by advancing to the Paris Masters final with a last-four win over Hubert Hurkacz on Saturday.

"Every achievement is special," said the 20-time major champion. "I try to make myself aware of the fact that I am in a very unique position.

"It's difficult for me to understand the magnitude of these achievements, not just for myself but for the sport while I'm still [an] active player.

"Probably when I retire, I'll be able to reflect on that a little bit more and appreciate it a little bit more.

"Of course I'm very appreciative and grateful for it now, but what is the next challenge is always in your mind while you're an active player. It's constantly another task, another tournament.

"So [I] don't have really much time to enjoy the success, so to say, because you always have to turn the next page."

However, he added: "Being historically [the] number one-ranked player in the world is probably the paramount achievement of our sport.

"Also, finishing the season as year-end number one requires full commitment throughout the entire year and consistency and playing the best tennis in the biggest events, which accumulate the most points that enable you to be highly ranked. So that's what I have done this year."

Djokovic will have his work cut out as he pursues a 37th Masters 1000 title, now facing Daniil Medvedev, the man who denied him the calendar Grand Slam in the US Open final.

"The job is not done," added Djokovic. "Obviously reaching the finals of one of the biggest tournaments that we have in our sport on our tour is something that stands out regardless of the year-end achievement that is completed.

"So hopefully going to have another great match and then take it from there.

"For now I am just proud and extremely happy. Obviously that was one of the biggest goals and it's always one of the biggest goals, to try to be number one and end the season as number one.

"To do it for the record seventh time and surpass my childhood idol and role model, Pete, is incredible. Very grateful, very blessed to be in this position.

“I wasn't bored without tennis, but I like competing so I was looking forward to coming to Paris and the biggest reason coming here was to clinch the year-end number one.

"Now that I managed to do it, it's a huge relief, as well."

Defending champion Daniil Medvedev set up a showdown with Novak Djokovic in the Paris Masters final after dismissing Alexander Zverev in straight sets.

The Russian, who downed Djokovic in the final of this year's US Open, was at his imperious best to see off Zverev 6-2 6-2 in the French capital.

He will now attempt to deny Djokovic a sixth title at the ATP 1000 event on Sunday, while seeking to etch his own name onto the trophy for a second year running.

World number two Medvedev, who overcame Zverev in the final of this event in 2020, ended the German's run of eight consecutive victories in style.

It took just 80 minutes for Medvedev to get the job done, his flat groundstrokes posing questions that Zverev had no answers to.

While Zverev did apply some pressure by forcing his rival to face three break points, Medvedev was cool under pressure as he held serve throughout the contest.

This triumph drew Medvedev level at 5-5 in the pair's head-to-head record.

He will likely face a sterner test against Djokovic, whose come-from-behind win over Hubert Hurkacz ensured he will claim the year-end number one ranking for a record seventh time.

On Sunday, he will bid to set another record by moving ahead of Rafael Nadal to reach 37 titles in Masters 1000 tournaments.

Novak Djokovic moved one step away from a sixth Paris Masters title by beating Hubert Hurkacz, guaranteeing himself the year-end number one ranking for a record seventh time.

The Serbian great is looking to get back to title-winning ways in his first tournament since September, when his hopes of a calendar Grand Slam were snuffed out by Daniil Medvedev in the US Open final.

He was pushed all the way to a deciding set tie-break by world number 10 Hurkacz, the player who beat Roger Federer at Wimbledon amid his breakout year.

But Djokovic had just enough in the tank to complete a 3-6 6-0 7-6 (7-5) semi-final victory, thumping his chest in relief and exhilaration as he got across the winning line.

On Sunday, he will bid to set another record by moving ahead of Rafael Nadal to reach 37 titles in Masters 1000 tournaments.

Saturday's success guarantees Djokovic will end the season on top of the ATP rankings for a record-breaking seventh time – Pete Sampras drops to second on the list with six years at the top.

Hurkacz broke serve in the eighth game of the first set and closed it out, only to surrender meekly in the second.

Djokovic broke to lead 3-1 in the decider, but a spirited Hurkacz recovered the break with a booming forehand into Djokovic's backhand corner in the seventh game.

The Polish player staved off a match point when serving at 5-4, getting somewhat lucky when a Djokovic passing shot landed just wide.

A tense tie-break swung Djokovic's way when Hurkacz lashed a forehand into the net at 5-5, and a backhand volley from the Miami Masters champion landed just wide on match point.

In the title match, Djokovic will tackle the winner of the second semi-final between Medvedev versus Alexander Zverev.

Novak Djokovic says he has room to improve despite easing past Taylor Fritz in straight sets to reach the semi-finals of the Paris Masters.

The world number one is competing in his first tournament since his dream of winning a calendar Grand Slam was ended by Daniil Medvedev in September's US Open final.

After beating Marton Fucsovics in three sets and then benefiting from a walkover against Gael Monfils in the last 16, Djokovic made light work of Fritz in Friday's quarter-final.

He sent down eight aces and was successful with 72 per cent of his first serves that landed on his way to a 6-4 6-3 victory.

However, Djokovic lost his serve on three occasions and, while happy with his overall display, the Serbian feels like there is more to come from his game in the French capital.

"I was absent from the tour for two months coming into this tournament," he said. "The last competitive match I played was in the US Open final, compared to the other guys playing one or two events prior to Paris.

"I knew that I needed to start well, with good intensity and put in a lot of hours on the practice court. But it's different when you play points in a competitive match.

"I am pleased with the way I played against Fucsovics and again today, though I did have ups and downs. I am not entirely pleased with the way I closed out the sets.

"I backed myself up with good returns and read Taylor's serve very well to get into rallies. I closed out the last couple of service games well and that's a positive."

Djokovic is aiming to win the Paris Masters for a record-extending sixth time in his bid to end the year as world number one for a record seventh occasion.

The Serbian will contest his 71st career Masters 1000 semi-final – four short of Rafael Nadal's record – against Hubert Hurkacz, who saw off James Duckworth 6-2 6-7 (4-7) 7-5.

With that victory, the world number 10 clinched the final singles spot at the ATP Finals in Turin later this month.

Hurkacz is the second Polish player to qualify for the event after Wojtek Fibak in 1976. It also means only European players will feature in the ATP and WTA Finals for the first time ever.

Saturday's other semi-final in Paris will be contested between Djokovic's US Open conqueror Medvedev and Olympic gold medallist Alexander Zverev.

Home favourite Hugo Gaston eliminated Pablo Carreno Busta earlier in the tournament but was always likely to face a tougher task against Medvedev.

So it proved, with the qualifier going down 7-6 (9-7) 6-4 in a match that saw Medvedev hit 13 aces to his opponent's one.

"When the atmosphere is against you, you need to face it," Medvedev said. "You need to try to win, no matter what.

"Even when it is against me, I think, 'I will try to beat my opponent and the crowd' because there is no other choice."

Zverev kept his momentum going with a 7-5 6-4 win over Casper Ruud in Friday's final contest, as he made it eight wins on the bounce.

The German held serve throughout, while breaking his opponent twice, to remain on course for a sixth final of 2021.

Alexander Zverev was given a thorough examination of his Paris Masters credentials by Grigor Dimitrov, but the fourth seed progressed nonetheless to reach the last eight.

Zverev, who last in last year's final, saw match points slip from his grasp in the second set as Dimitrov levelled the match, however, he eventually prevailed on Thursday.

World number one Novak Djokovic benefited from a walkover, while Daniil Medvedev also moved through to the quarter-finals of the ATP Masters 1000 event.

Zverev outlasts Dimitrov

Olympic Games gold medallist Zverev had to dig deep for his 7-6 (7-4) 6-7 (3-7) 6-3 win over former world number three Dimitrov.

It was Zverev's seventh win on the bounce, but he was well aware of just how deep he had to dig to see off a resilient Dimitrov.

"Incredible match," Zverev, who won a fifth tour title of the year last week at the Vienna Open, said afterwards. "Grigor is playing very high-level tennis and I had to leave everything out there.

"I think it was a very high-level match and it could have gone both ways, especially the third set. I am happy with how things went in the end."

Djokovic moves through without playing

There was no such ordeal for top seed Djokovic, however.

Djokovic – a 20-time grand slam champion – received a walkover after Gael Monfils was advised not to continue with the tournament due to an adductor issue sustained in his previous win over Adrian Mannarino.

Taylor Fritz awaits five-time Paris champion Djokovic after the American saw off 10th seed Norrie 6-3 7-6 (7-3), while Casper Ruud will tussle with Zverev.

Ruud's emphatic 6-2 6-1 demolition of Marcos Giron clinched a historic achievement for the 22-year-old – who became the first Norwegian to qualify for the ATP Finals at the end of a breakthrough year in which no player can better his five tour-level titles.

Hubert Hurkacz did his chances of joining Ruud in Turin no harm as the Polish seventh seed – who holds the last automatic qualifying berth – fought back to defeat Dominik Koepfer 4-6 7-5 6-2 and set up a meeting with James Duckworth, who beat Alexei Popyrin 7-6 (8-6) 6-4.

Second seed and US Open champion Medvedev was another who had to come from behind before ultimately seeing off Sebastian Korda 4-6 6-1 6-3.

He will go up against Hugo Gaston, who became the first French qualifier to reach the Paris Masters quarter-finals since 1990 with his win over Carlos Alcaraz.

Gael Monfils has withdrawn from the Paris Masters due to an adductor problem, handing world number one Novak Djokovic a walkover into the quarter-finals.

Djokovic has played only once on the ATP Tour since losing the US Open final to Daniil Medvedev on September 12.

That defeat at Flushing Meadows ended Djokovic's hopes of achieving a calendar Grand Slam, though the Serbian has returned to action for the final few weeks of the 2021 season.

With the ATP Finals coming up, Djokovic headed to Paris looking to regain the title he claimed in his last appearance in the tournament back in 2019. He needed three sets, but overcame Marton Fucsovics 6-2 4-6 6-3 in his first match.

He has won the Paris Masters on five occasions and is the top seed this time around, with defending champion Medvedev seeded second. 

Monfils, seeded 15th, beat Miomir Kecmanovic and Adrian Mannarino en route to the last 16, but confirmed to the media on Thursday that he had been advised not to continue.

Djokovic will face the winner of Cameron Norrie, who recently triumphed at Indian Wells, and Taylor Fritz in the quarter-finals.

The field has already been cleared of third seed Stefanos Tsitsipas, who retired hurt when facing Alexei Popyrin on Wednesday.

Teenage sensation Carlos Alcaraz put in an impressive display to upstage eighth seed Jannik Sinner in straights sets in the third round of the ATP Paris Masters on Wednesday.

Alcaraz was on top for most of his 7-6 (7-1) 7-5 victory, winning 80 per cent of his first-serve points and 75 per cent of net points against Sinner.

Sinner showed determination to stay in both sets, with the Italian saving nine of the 11 break points he faced, but it was ultimately in vain.

The European Open winner will be among those sweating as the race to qualify for the ATP Finals in Turin heats up.

After the win, 18-year-old Alcaraz said: "I'm so happy for this win as Jannik was fighting for a spot at the ATP Finals. It's my third Top 10 win of the year.

"I think Jannik and I will have a great rivalry in the future... I think that I played really, really aggressive, more than him. I think that was one of the keys."

Alcaraz will now face qualifier Hugo Gaston in the next round after the Frenchman impressively knocked out 12th seed Pablo Carreno Busta 6-7 (3-7) 6-4 7-5.

Interesting day for Turin hopefuls

It was a mixed day for others looking to secure a spot at the season-ending ATP Finals later this month as Felix Auger-Aliassime – ranked 12th in the ATP Race to Turin – lost in straight sets to Dominik Koepfer, who added to his impressive list of victims after beating three-time grand slam champion Andy Murray in the first round.

Koepfer will play another Turin hopeful, the 10th-ranked Hubert Hurkacz after he beat Tommy Paul in straight sets.

Cameron Norrie also impressed in his 6-3 6-4 win over Reilly Opelka, which was his 50th tour-level win of the year.

Taylor Fritz awaits after the American stunned fifth seed Andrey Rublev 7-5 7-6 (7-2).

Medvedev and Zverev ease through but Tsitsipas out

Second seed and US Open champion Daniil Medvedev had a routine first match of the tournament as he swept past Ilya Ivashka 7-5 6-4, while Olympic Games gold medallist and fourth seed Alexander Zverev also had few problems against Dusan Lajovic 6-3 7-6 (7-5).

However, third seed Stefanos Tsitsipas exited after retiring hurt with an apparent arm injury against Alexei Popyrin in the first set with the score at 4-2 to the Australian.

Popyrin will now face fellow countryman James Duckworth, who followed up his impressive win against 14th seed Roberto Bautista Agut with a 6-3 3-6 6-3 victory against Lorenzo Musetti.

Elsewhere, 11th seed Diego Schwartzman was shocked by qualifier Marcos Giron 7-6 (7-2) 7-6 (7-4).

There were also wins for 16th seed Grigor Dimitrov against Karen Kachanov, and Sebastian Korda over Marin Cilic.

Gael Monfils will go up against world number one Novak Djokovic in the third round after the experienced French 15th seed came from behind to beat compatriot Adrian Mannarino 2-6 7-6 (7-4) 6-2.

Novak Djokovic recovered from a second-set blip to emerge victorious 6-2 4-6 6-3 in his first match since the US Open at the Paris Masters.

Victory in Paris would see Djokovic – competing for the first time since September's loss to Daniil Medvedev in the Flushing Meadows final – clinch the year-end number one ranking for a record seventh time.

Djokovic looked to be on course for a routine victory to start his campaign after comfortably taking the first set against Marton Fucsovics in their second-round contest on Tuesday.

However, the top seed's Hungarian opponent fought back to force a decider, hitting 13 winners to seven unforced errors in the second set.

But Djokovic – a record five-time Paris Masters champion – ensured a remarkable turnaround was not forthcoming, breaking Fucsovics twice in the third and, after letting one match point slip, clinching his second to secure victory.

Felix fights back

Ranked 12th in the ATP Race to Turin, Felix Auger-Aliassime needs to lift the trophy in Paris and hope Casper Ruud and Jannik Sinner do not reach the latter stages to make it to the ATP Finals.

Auger-Aliassime risked falling at the first hurdle on Tuesday as the ninth seed was forced to fight back to defeat Gianluca Mager 4-6 6-4 6-1.

"I had difficulty with my pace at the beginning of the match," said Auger-Aliassime. "I didn't hit enough first serves so I had a bit of pressure on my second serve.

"So I could have served better in the first set. I [had] a poor game at four-all and I got broken, but even before that there were moments at 30-all it was a bit hot and a bit tight. I think I relaxed. I found a better pace at the beginning of the second set, and it went even better as the match went forward."

He will next face Dominik Koepfer in the second round following the German's stunning win over Andy Murray on Monday.

Alcaraz sets up Sinner clash

Sinner will have an extremely testing second-round clash after Carlos Alcaraz came from behind to see off wild card Pierre Hugues-Herbert.

Alcaraz let slip a 4-2 lead in the first set to lose that on a tie-break but won six straight points in a second-set breaker before eventually battling to a 6-7 (4-7) 7-6 (7-2) 7-5 win in two hours, 53 minutes.

"It's not easy to play against a home player," Alcaraz said. "I think we played a good level and it was a great match, so I am happy to win. He has a great serve, so I had to return better and remain focus. I think that was the key. I am playing at a good level and I want to finish the year strong."

Diego Schwartzman – the 11th seed – needed three sets to see off John Millman, 15th seed Gael Monfils reversed a one-set deficit against Miomir Kecmanovic and 16th seed Grigor Dimitrov survived a three-setter with Richard Gasquet.

But one seed did fall on Tuesday, Roberto Bautista Agut (14) edged by James Duckworth in three sets.

Dominic Thiem has confirmed he has been given a coronavirus vaccine and will return to action in Abu Dhabi next month with the objective of playing in the 2022 Australian Open.

The 2020 US Open champion has been out of action since suffering a wrist injury at the Mallorca Championships in June.

Thiem on Tuesday revealed he has made good progress with his recovery and will play in the World Tennis Championship, an exhibition event that will be staged from December 16-18.

The 28-year-old had stated he wanted to wait for a Novavax jab, but was urged by Austrian minister for Social Affairs, Health, Care and Consumer Protection Wolfgang Muckstein to take an alternative vaccine as his preferred choice would not be available until next year.

Thiem says he has now been vaccinated and is relishing getting back on court as he eyes a grand slam return in Melbourne in January.

"I am very happy to announce that my recovery is going well. The MRI I did today showed that my wrist injury has improved significantly," Thiem tweeted on Tuesday.

"A couple of weeks ago I started playing with soft balls and was able to switch to normal tennis balls during yesterday's practice session. My team and I strongly believe that I'll be ready to make my comeback later this year.

"I'll be returning to competition in December and will be playing the MWTC 2021 in Abu Dhabi – with the objective to return to the Tour for the 2022 Australian Open.

"Needless to say that the vaccine is needed to play both events, and in my case I have already been vaccinated. I saw recently some news about this and I had to make it very clear that I would get vaccinated. Hopefully the next time things won't be taken this far [sic] as I saw last week..."

Rafael Nadal is also set to return from injury in Abu Dhabi.