Federer, who skipped the entire clay court season after winning the Australian Open and claiming titles at Indian Wells and Miami this year, will next play defending champion Florian Mayer who beat Frenchman Lucas Pouille in three sets.
The top women's seeds continued to be scattered at Wimbledon on Wednesday, with Caroline Wozniacki's exit meaning five of the top eight were gone before the end of the third day.
Images from Day 9 of the 2023 French Open at Roland Garros in Paris on Monday.
Images from Day 4 of the 2023 Australian Open, at Melbourne Park.
Top seed Andy Murray could meet Roger Federer or Kei Nishikori in the third round, while Serena faces tricky Belinda Bencic in opening round
Serena Williams launched a charm offensive on Sunday as she sought to broker a truce with Maria Sharapova and calm the storm surrounding comments she made about a rape victim.
It's French Open time! The tennis world's only clay court Grand Slam begins on Sunday and the best of the best will battle it out.
Images from Day 5 of the Australian Open in Melbourne on Friday.
PHOTOS from day four of the Wimbledon championships at the All England Lawn Tennis and Croquet Club in London on Thursday.
Roger Federer boasted of his fitness, Maria Sharapova felt a bit rusty and Andy Murray berated himself but all three eased into the second week of the Australian Open with third round victories at Melbourne Park on Saturday.
Defending champion Andy Murray eased into the Wimbledon quarter-finals for the 10th successive year with a 7-6(1), 6-4, 6-4 victory over Benoit Paire on Monday.
Second seed Garbine Muguruza, bidding to add the Wimbledon crown to her French Open title, was sensationally beaten in the second round on Thursday by Slovakian qualifier Jana Cepelova 6-3, 6-2 in the shock of the tournament so far.
Images from Day 4 of the Australian Open in Melbourne on Thursday.
A summary of Wednesday's action at the US Open.
Rafael Nadal extended his astonishing winning run on clay to 42 consecutive sets as he reached the semi-finals of the Barcelona Open with a 6-0, 7-5 victory over Slovakia's Martin Klizan on Friday. The defending champion will face David Goffin on Saturday after the Belgian beat Spaniard Roberto Bautista 6-7(3), 6-2, 6-2.
Top seed Serena Williams turned an early challenge into an eventual cakewalk as she beat Russian-born Yulia Putintseva 7-6(2), 6-0 in the third round of the BNP Paribas Open in California on Sunday.
IMAGES of the all the action from Day 1 of the Australian Open played at Melbourne Park on Monday
Images from Day 7 of the 2019 French Open in Paris on Saturday.
Nadal, who got a first-round bye, defeated Richard Gasquet 6-3, 6-4 to advance.
Former world number one Novak Djokovic suffered a surprise second-round exit at the Barcelona Open when the Serb was beaten 6-2, 1-6, 6-3 by world number 140 Martin Klizan on Wednesday.
Dani Alves has blamed the media for Brazil's unsuccessful World Cup campaign but conceded that the team did not prepare properly ahead of the humiliating 7-1 defeat by Germany in the semi-final.
It was a day of surprises at Flushing Meadows in New York as seeded players were knocked out one after the other on Friday.
Images from the third day at the US Open, the final Grand Slam tournament of the year, in New York, on Wednesday:
IMAGES from Day 7 of the French Open, at Roland Garros, on Saturday.
US Open champion Martin Kaymer sank an eight-foot birdie putt at the first extra hole to beat Bubba Watson in the four-man PGA Grand Slam of Golf in Bermuda on Wednesday.
Thursday's match was just Venus Williams's seventh of the year and first since January's Australian Open, where she fell to Simona Halep in the round of 32.
Summary of sports events and persons who made news on Thursday
US Open champions Marin Cilic and Serena Williams kicked off their China Open campaigns with straight sets victories against battling underdogs on Monday, but Rafael Nadal suffered defeat in a rare doubles outing on his return from injury.