Federer looked more relieved than overjoyed when Tiafoe's forehand found the net on match point to keep his hopes of a 20th grand slam title alive.
Osaka, 20, shot to international fame on Saturday when she defeated 36-year-old American Serena Williams at Flushing Meadows to become the first Japanese player to claim a Grand Slam singles crown.
World number one Simona Halep was upset 6-2, 6-4 by unseeded Estonian Kaia Kanepi in the U.S. Open first round on Monday, the second consecutive year the Romanian has lost her opening match at Flushing Meadows.
Steady rain hit the US Open on Monday, washing out the last match on Arthur Ashe Stadium court featuring five-time champion Roger Federer.
The new crop of young players are poised for a Grand Slam breakthrough and New York's bright lights could provide the inspiration that finally gets one of them over the top, five-times US Open champion Roger Federer said on Friday.
Images from Day 7 of the 2024 Australian Open in Melbourne on Saturday.
Osaka threw her racket, slammed a ball into the court and gave her racket a kick for good measure before steadying the ship
Will it be Rafa versus Djoko in Sunday's final?
Second seed Angelique Kerber stayed on track in her quest to unseat Serena Williams as world number one by beating Mirjana Lucic-Baroni of Croatia 6-2, 7-6(7) on Wednesday to reach the third round of the US Open.
Novak Djokovic beat Daniil Medvedev in the US Open final to win a 24th Grand Slam singles title and equal Margaret Court's record haul.
Rafael Nadal is the oldest title winner in the history of the clay-court tournament.
A summary of Wednesday's action at the US Open.
Andy Murray may have been the forgotten man at the US Open but gave the crowd and Stefanos Tsitsipas a match to remember, forcing the third seed to grind out a 2-6, 7-6(7), 3-6, 6-3, 6-4 win on Monday and avoid the opening round shocker.
The 2011 US Open champion could not wait to join her friend for the 'Barty Party'.
Rafael Nadal will become the first man to win 21 Grand Slam titles if he defeats the Russian in Melbourne.
Not since Stan Wawrinka's 2016 US Open triumph has a Grand Slam been won by someone other than the 'Big Three', winners of the last 13 major titles.
Second seed Dominic Thiem celebrated his 27th birthday with a commanding 6-3, 6-3, 6-2 victory over India's Sumit Nagal on Thursday to move into the third round of the US Open.
The volatile 17th seed had a quiet evening by his standards in his opening match on Monday, with just the one violation for unsportsmanlike behaviour when he asked spectator, in no uncertain terms, to be quiet while he was serving.
Williams has just one professional tournament remaining before she drops the curtain on her historic career
In an interview last month after a World Tennis Tour event at the Greenbrier in West Virginia, they said they had not yet decided whether they were finished competing. Playing almost exclusively with each other throughout their 25-year careers, the Bryans captured a professional era record 119 titles, including 16 Grand Slam wins, 39 ATP Masters 1000s and the ATP Finals title four times.
Switzerland's Stanislas Wawrinka rose to the occasion once again to beat Novak Djokovic with a scintillating display to win his first US Open and third Grand Slam title.
Men's top seed Novak Djokovic and women's number two Angelique Kerber look to book berths in the last four of the US Open as the quarter-finals of the year's last Grand Slam get underway on Tuesday.
Juan Martin del Potro's summer renaissance continued on Monday as the unseeded Argentine advanced into the US Open quarter-finals when Austrian eighth seed Dominic Thiem quit their match with an injury.
Rediff.com takes a look at some interesting highlights of the tournament.
The Citi Open in Washington, which was scheduled to restart the men's ATP Tour after the COVID-19 shutdown, has been cancelled for 2020, organisers announced on Tuesday. The tournament was set to begin on August 14 and serve as a build-up for the US Open but the organisers said concerns about travel restrictions and recent trends in the coronavirus outbreak had led to the decision to scrap the event.
Standing in Czech Karolina Pliskova's way of achieving a first Grand Slam title is top seed Barty who is aiming to lift the Venus Rosewater Dish for the first time herself.
Naomi Osaka trying to move on from 'bittersweet' maiden Grand Slam title
Factbox on Rafael Nadal, who beat Dominic Thiem to win his 12th French Open title:
Sloane Stephens's US Open win could be the first of many Grand Slam titles for the young American, but there is a question mark on her ambitions, according to former world number one Mats Wilander.
Serbia's Aleksandra Krunic added her name to a list of anonymous figures to emerge from the Flushing Meadows shadows and step into the US Open spotlight with a shock 6-4, 6-4 win over Wimbledon champion Petra Kvitova on Saturday.
Defending champion Rafael Nadal failed to win a single game in the opening set of his US Open quarter-final against Dominic Thiem on Tuesday but fought back to beat the Austrian 0-6, 6-4, 7-5, 6-7 (4), 7-6 (5) in match that ended past 2 am in New York.
The German sixth seed, who has not won a title since winning at Flushing Meadows last year, never got into the match against the 2016 WTA newcomer of the year.
IMAGES from Day 8 of the US Open on Monday
Factbox on Rafael Nadal, who beat Novak Djokovic 6-0, 6-2, 7-5 on Sunday to win a record-extending 13th French Open title:
Sunday's final was an intense contest as nerves played their part, with 10 of the 22 games going against serve.
John Tomic, father and coach of Australian tennis player Bernard Tomic, will be barred from the Australian Open as he continues his suspension from the ATP tour for assaulting his son's former training partner.
Federer and Nadal had both opted out of this year's tournament, while Djokovic exited in the fourth round after an infamous swat of his racket sent a tennis ball into a line judge's neck.
A summary of Monday's action at the US Open.
Croatian Borna Coric saved six match points as he rallied from 5-1 down in the fourth set to stun Stefanos Tsitsipas 6-7(2), 6-4, 4-6, 7-5, 7-6(4) and send the fourth seed tumbling out of the US Open in the third round on Friday.
Wimbledon was scrapped for the first time since World War Two on Wednesday due to the coronavirus pandemic, with the suspension of professional tennis extended to July 13. The 38-year-old Federer is well insulated from the shutdown's financial fallout it could well impact his hopes of adding to his record haul of 20 Grand Slam titles.