India's Sania Mirza and Rohan Bopanna progressed with their respective partners but Leander Paes' campaign ended after the veteran suffered a second-round defeat with Martina Hingis in the mixed doubles at the US Open.
Federer and world number one Nadal won the first three grand slam titles of the season as they came back to prominence with a bang, and nothing suggests their first-round opponents, American Frances Tiafoe and Serbian Dusan Lajovic, will bother them.
Sharapova was granted a wildcard entry to the last Grand Slam of the season but received a tough first-round draw in the shape of Romanian Halep.
'I definitely think it's the time to just switch off from any future thoughts or any plans, any schedule. I've got absolutely no clue. Right now, no care in the world, I'm just loving life.'
Anderson, a member of the ATP Player Council, said he felt it was a matter of time before the final-set tiebreak came in.
IMAGES from Day 1 of the Wimbledon Championships, at the All England Lawn Tennis and Croquet Club, London, on Monday.
Serena Williams will be wary of another semi-final slip-up when she takes to the Arthur Ashe Stadium court on Thursday to face 10th seed Karolina Pliskova for a spot in the US Open final.
Here is a factual guide on the man of the moment...
The 19-year-old Canadian, who a year ago had failed to qualify for the tournament but has gone on to become the sport's brightest young star.
Medvedev whips Dimitrov to enter US Open final
Top ranked Serena Williams won her third consecutive U.S. Open women's championship when she defeated Denmark's Caroline Wozniacki 6-3, 6-3 on Sunday.
Fourth seed Rafael Nadal showed he is healthy and ready to challenge for a third US Open title as he rolled into the last 16 at Flushing Meadows on Friday with a fist-pumping 6-1, 6-4, 6-2 win over Russian Andrey Kuznetsov.
An FFT statement said it had consulted with the ATP, WTA and International Tennis Federation (ITF) to allow the Roland-Garros showpiece the benefit of an extra week.
The fifth-seeded Ukrainian reached her second straight Grand Slam semi-final after also making the last four at Wimbledon in July.
World number one Iga Swiatek beat Tunisia's Ons Jabeur 6-2, 7-6(5) in the US Open final on Saturday to claim her maiden trophy at Flushing Meadows and third Grand Slam title.
The stakes could not be higher in Sunday's Flushing Meadows final between Spanish teenaged phenomenon Carlos Alcaraz and Norwegian Casper Ruud, with the US Open trophy and the world number one ranking awaiting the winner.
Second seed Rafael Nadal said he would make no excuses after his shock loss to American Frances Tiafoe in the US Open fourth round Monday, despite a serious abdominal injury that derailed his run-up to the year's final major.
Indian Wells organisers said on Tuesday that world number two Novak Djokovic had been placed in the tournament's draw but it was unclear if the Serbian would be permitted to enter the United States.
Novak Djokovic won a record-extending sixth Paris Masters title by avenging his U.S Open final defeat against Russian Daniil Medvedev with a 4-6, 6-3, 6-3 victory in Sunday's showpiece match.
Serena Williams is leaving tennis but her love affair with the sport will continue assured the 23-times Grand Slam winner on Monday, after reaching the second round of the US Open which could be her competitive swan song.
World number one Novak Djokovic had to work hard for a three-set victory over Hungarian Marton Fucsovics at the Paris Masters on Tuesday in his first match since losing the U.S. Open final in September.
A portion of the Billie Jean King National Tennis Center is set to transform into a 350-bed temporary hospital on Tuesday, the USTA said, as the coronavirus outbreak strains resources in New York City, which as been dramatically affected by the pandemic. The site of the US Open and the crown jewel of American tennis, the venue has been thrust into the fray amid a medical crisis that has gripped the world and brought professional sports to a sudden and indefinite halt.
The ATP and WTA have extended the suspension of their tours until June 7, the two tennis bodies said in a joint statement on Wednesday, as the coronavirus pandemic continued to shred the sporting calendar. The claycourt season "will not be held as scheduled" due to the suspension, the organising bodies of the men's and women's tours said. The men's ATP and women's WTA rankings will be frozen for the time.
The French Tennis Federation has welcomed the decision of a French tribunal to lift the suspension of plans to expand Roland Garros, the home of the French Open tournament.
orld number three Stan Wawrinka, who recently captured his third Grand Slam title at the US Open, has affirmed that he has no plans to retire at the moment. Despite admitting that he had anxiety attacks before clinching a victory over top-ranked Novak Djokovic at the Flushing Meadows, the Swiss star reiterated that he is currently in great form and wants to play as much tennis as possible in the coming future.
Earlier, title holder Borna Coric beat American Sebastian Korda 7-6 (5), 6-4, while another home hope Taylor Fritz survived a first-set thriller to beat Czech Jiri Lehecka 7-6 (14), 6-2.
Roger Federer and Rafael Nadal are just one step away from a US Open semi-final clash but both face tricky challenges to set up what would be their maiden encounter at Flushing Meadows.
Romanian fifth seed Simona Halep advanced to the third round of the U.S. Open with a 6-3 6-4 win over Lucie Safarova on Thursday in the first full match played under a closed roof at Arthur Ashe Stadium. The $150 million retractable roof was installed ahead of this year's tournament and guaranteed there would be at least some action on a muggy and overcast Day Four at the year's final grand slam.
Images from Day 6 of the 2021 US Open in New York on Saturday.
The former world number one was especially proud of the way she has managed to mould her mindset to deal with tough losses.
Roger Federer avenged his Wimbledon final loss to Novak Djokovic by beating the top-seeded Serb 7-6(1), 6-3 on Sunday to capture his second consecutive Western & Southern Open title.
American Rajeev Ram and Briton Joe Salisbury overcame a slow start to beat Bruno Soares and Jamie Murray 3-6, 6-2, 6-2 in the US Open men's doubles final on Friday.
Italy's Matteo Arnaldi produced a sensational performance to take out sixth seed Andrey Rublev and reach the last 16 of the French Open on Friday.
World No 1 Novak Djokovic beat Roger Federer 6-4, 5-7, 6-4, 6-4 to win the US Open title at the Flushing Meadows in New York on Sunday.
There is no secret to beating Serena Williams, says her US Open semi-final opponent Victoria Azarenka, the only chance to win is to fight hard, execute well and remember the 23-times Grand Slam champion is never out of it, no matter the score.
US Open Tournament Referee Soeren Friemel said there was "no other option" but to disqualify world number one Novak Djokovic on Sunday after he struck a line judge with a ball.
Sumit Nagal immediately set his sights on Thiem who has reached two French Open finals, losing both to Nadal.
Former world number one Mats Wilander says only two things can keep Roger Federer from advancing - injury and distraction.
One of sport's great rivalries, Roger Federer and Rafael Nadal have clashed 37 times over the years but never stood across from each other on Flushing Meadows' hardcourts.