Fourth-ranked Carlos Alcaraz and Norway's world number seven Casper Ruud also have a shot at top spot.
The Davis Cup tie will be held either on September 16-17 or 17-18 while tennis event at the Asian Games are scheduled to be held from September 10-14.
Novak Djokovic claimed a record-breaking 23rd men's singles Grand Slam title when he beat Norway's Casper Ruud 7-6(1) 6-3 7-5 in the French Open final.
The pair faced each other 40 times over the last two decades in one of the sport's most enduring rivalries, with the Spaniard leading the head-to-head 24-16.
As a sporting spectacle Alcaraz and Djokovic matches have delivered on every level and would be worthy of the Big Apple spotlight.
Defending champion Iga Swiatek made it to her third final in four years at Roland Garros.
Novak Djokovic described Carlos Alcaraz as like facing a blend of the big three -- himself, Rafa Nadal and Roger Federer.
Carlos Alcaraz ended Australian qualifier Max Purcell's dream run to reach the Cincinnati Open semi-finals
IMAGES from Day 5 of the French Open at Roland Garros in Paris on Thursday.
Novak Djokovic has no intention of passing the torch to the next generation just yet.
Rafa Nadal returned from an injury layoff to beat Miomir Kecmanovic 6-1 7-6(4) on Wednesday
Carlos Alcaraz swatted aside Serbian Dusan Lajovic as Canadian Bianca Andreescu cruised past American Sofia Kenin in straight sets at Miami Open.
For the first time since 2004, neither Novak Djokovic nor the injured Rafael Nadal will be in the Rome final.
Ruud, who did not take kindly to Kyrgios's tweet then about how he had celebrated the victory, said the hot-headed 24-year-old was "completely crazy" and had behaved like an "idiot" on the court.
Evans, who recovered from illness to be part of the $15 million prize money event, showed his battling qualities to overcome Ramos-Vinolas
Novak Djokovic's steady progress in the last few seasons is a testament to his mental strength and physical conditioning.
10 Interesting Glimpses from the French Open.
Roger Federer said he is "definitely" intending to return to top-level tennis in 2023, but added that he had not made any concrete plans beyond his scheduled appearances at the Laver Cup and his home tournament in Basel later this year.
Hubert Hurkacz battled back from a set and a break down to beat Casper Ruud 5-7 6-3 6-2 on Saturday and reach the Canadian Masters final.
Holder Stefanos Tsitsipas moved into the Monte Carlo Masters quarter-finals with a 7-5 7-6(1) victory over Laslo Djere
Norwegian Casper Rudd is the first tennis player from his country to reach the final of any Grand Slam.
India had mixed fortunes at the US Open on Friday. Rohan Bopanna advanced to the men's doubles second round partnering Denis Shapovalov, but Leander Paes, teaming with Guillermo Duran, made a first-round exit.
The Italian is the youngest winner on the men's tour since Japan's Kei Nishikori won the Delray Beach Open at the age of 18 in 2008.
Nick Kyrgios produced a serve-and-volley masterclass to topple world number one Daniil Medvedev 6-7(2), 6-4, 6-2 for his eighth straight win on a day of upsets, while American Tommy Paul rallied to beat Spanish second seed Carlos Alcaraz.
Nadal had arrived in Paris nursing a nagging foot injury and even brought a doctor with him to improve his chances
Novak Djokovic beat Norway's Casper Ruud 7-5, 6-3 to collect a record-equalling sixth ATP Finals title on Sunday, earning the biggest paycheck ever in tennis - $4,740,300 - for completing the season-ending tournament unbeaten.
The Swiss star underwent arthroscopic right knee surgeries in February 2020 and May 2020. Federer has played five tournaments since having those surgeries, all of which came this season.
List of French Open men's singles champions:
Images from Day 3 of the 2023 French Open at Roland Garros in Paris on Tuesday.
Rafael Nadal confirmed he will miss this year's French Open as he is yet to recover from injury.
World number one Carlos Alcaraz sailed into the Paris Masters third round with a 6-4, 6-4 win over Yoshihito Nishioka but Rafael Nadal and Daniil Medvedev both slumped to surprise losses on Wednesday.
Nadal believes he had no reason to feel alarmed ahead of the season's first Grand Slam starting in two weeks.
Shapovalov pulls out of French Open.
Images from Day 4 of the 2023 Australian Open, at Melbourne Park.
US Open champion Carlos Alcaraz has become the youngest world number one since the ATP rankings began in 1973.
Auger-Aliassime, now coached by Nadal's uncle and long-time mentor Toni who sat in his box, will face Fritz in his final group match with a chance of making the last four.
Grigor Dimitrov is the latest player to be hit by injury in Melbourne
Alcaraz outlasts Hurkacz, Ruud stunned at Canadian Open
World number one Novak Djokovic earned his 1,000th tour-level victory by beating Casper Ruud 6-4, 6-3 on Saturday to reach the Italian Open final.
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