Nadal did not have stitches or a bandage on his nose, two days after accidentally cutting it with his racket during his previous victory.

“A little bit bigger than usual, but it’s OK,” he said with a smile. “The nose is still there.”

Nadal has won 34 straight sets against Gasquet and needed just over two hours to move into the fourth round of the US Open. He’ll play American Frances Tiafoe on Monday. Tiafoe is the first American man since Mardy Fish in 2010-12 to get to the US Open’s fourth round in three consecutive years. Nadal has a 2-0 career mark against Tiafoe.

Twenty-four hours before Nadal took the court, Serena Williams’ last match at the US Open was must-see TV for players still in the tournament, so Jessica Pegula and Petra Kvitova tuned in from their hotel rooms the night before their victories set up a fourth-round showdown.

“Of course I watched Serena. I’m like everyone else,” said Pegula, a 28-year-old American who is seeded No. 8 at Flushing Meadows and beat qualifier Yuan Yue 6-2, 6-7 (6), 6-0. “You feel kind of sad that’s how it ends. But, I don’t know, like I got a little, like, sentimental, too, watching her, how emotional she was getting.”

Kvitova, a two-time Wimbledon champion from the Czech Republic, credited Williams’ last stand — the owner of 23 Grand Slam titles fended off five match points before bowing out in three sets against Ajla Tomljanovic on Friday night in what is expected to be her final contest — with offering inspiration.

“It was very special. She didn’t want to leave the court, for sure. That was the same case with me today, actually. I didn’t want to go out of this tournament, so I was just hanging (in) there, somehow,” said Kvitova, who erased deficit after deficit, including a pair of match points, to edge Garbiñe Muguruza 5-7, 6 -3, 7-6 (12-10).

“That’s what Serena showed last night,” said Kvitova, who dropped her racket and covered her face with her ends when what she called a “nightmare” of a tiebreaker was over. “It was nice to see her yesterday, fighting until the end.”

Here’s how close this one was: Kvitova won 109 total points, Muguruza 108.

“Left everything on the court today,” said No. 9 Muguruza, a two-time Slam winner whose departure means the bracket was without six of the top 10 women before the third round was even done.

No. 1 Iga Swiatek moved into the fourth round by beating Lauren Davis 6-3, 6-4.

It was going to be tough for any of the day’s matches to live up to the sort of attention Williams drew, or the atmosphere she helped create, during her three-match run in Ashe.

“I just can’t believe the ‘era of Serena’ on the tennis court is over,” Pegula said. “I mean, it’s just hard to picture tennis without her.”

Kvitova-Muguruza and Rublev-Shapovalov required the new final-set tiebreaker format to determine the winner. The four Grand Slam tournaments agreed to adopt a uniform system this year, with the third sets of women’s matches and fifth sets of men’s decided by a first-to-10, win-by-two formula; the US Open used to have the more traditional first-to-seven setup.

Pegula’s domination of her last set made that sort of thing entirely unnecessary. She had wasted a chance to close out the victory a half-hour earlier when she wasn’t able to convert her match point, but quickly regrouped.

Pegula started her Grand Slam career by going 3-8. She’s gone 22-7 since, including runs to quarterfinals at the Australian Open each of the past two years and the French Open this year.

The 28-year-old American, whose parents own the NFL’s Buffalo Bills and NHL’s Buffalo Sabers, came into Saturday with an 0-2 record in third-round matches at Flushing Meadows, including a loss to Kvitova in 2020.

Pegula gets another shot on her Monday.

“Petra is so hard to play. I feel like when she’s on, she blows you off the court. And then sometimes she can be off… She’s a fighter. When it clicks, it’s really difficult,” Pegula said, then was sure to add: “I think I’m a much better player now than I was when I played her last time.”

In other action Saturday, two-time Australian Open champion Viktoria Azarenka was a 6-3, 6-0 winner against Petra Martic; two-time major runner-up Karolina Pliskova beat Tokyo Olympics gold medalist Belinda Bencic 5-7, 6-4, 6-3; No. 3 Carlos Alcaraz, a 19-year-old Spaniard, defeated unseeded Jenson Brooksby, a 21-year-old Californian, 6-3, 6-3, 6-3; No. 7 Cam Norrie beat no. 28 Holger Rune 7-5, 6-4, 6-1 in the men’s draw; No. 9 Andrey Rublev got past No. 19 Denis Shapovalov 6-4, 2-6, 7-6 (3), 6-4, 7-6 (10-7) to reach the fourth round for the fourth time; and 2014 US Open champion Marin Cilic beat No. 20 Dan Evans 7-6(11), 6-7(3); 6-2, 7-5.