Local favourite Jo-Wilfried Tsonga takes on in-form Kei Nishikori, while Lucie Safarova will go head-to-head with Garbine Muguruza. Former winner Ana Ivanovic became the first player to qualify for the semi-finals, beating Elina Svitolina in two short sets, 6-3, 6-2.
Here's how you can watch all of Tuesday's action, as well as video replay information:
|2015 French Open Viewing Information: Tuesday, June 2|
|12:30 p.m. BST-9 p.m. BST||French Open Quarter-Finals||ITV 4 (UK)|
|8 a.m. ET-1 p.m. ET||French Open Quarter-Finals||ESPN2|
|1 p.m. ET-3:30 p.m. ET||French Open Quarter-Finals||Tennis Channel|
Video Replay: Eurosport (9:05 p.m. BST) WatchESPN
Stan Wawrinka vs. Roger Federer
Switzerland is represented by three of the remaining eight players in the men's draw, but after Tuesday, that number will be reduced to two. Federer and Wawrinka resume their rivalry, the first real test of the tournament for the Davis Cup team-mates.
Federer set a new Roland Garros record in his four-set win over Gael Monfils, reaching the final eight for the 11th time in his long career, per ESPN Tennis:
Meanwhile, Wawrinka cruised past Gilles Simon in straight sets.
Federer has dominated Wawrinka in head-to-head play in recent years, winning all but two of their meetings but both losses came on clay. Wawrinka's power from the baseline really shines on the slower surface, where he can force Federer to move and never become comfortable with his footing.
SportsCenter believes long rallies and lots of movement will give Wawrinka his best chance of upsetting the 17-time Grand Slam winner:
The 33-year-old Federer only finished his fourth-round win over Monfils on Monday due to rain delays, so his legs won't be as fresh as Wawrinka's. And while he told reporters he was happy with his performance, per the tournament's Twitter account, it certainly wasn't one of Federer's best matches:
Fed Express needed four sets to get past Monfils, who visibly struggled on the court and later confirmed he was battling an illness, per Sports Illustrated's Courtney Nguyen.
Wawrinka has to like his chances of shocking his compatriot, making this quarter-final match the one fans simply can't afford to miss on Tuesday.
Ana Ivanovic vs. Elina Svitolina
Following Sharapova's early exit from the tournament, the bottom half of the women's draw has suddenly burst wide open, as shared by SI Tennis:
Safarova has looked in fantastic form of late, and while there are no guarantees in tennis, she should dispatch of Spain's Muguruza. If she does, she'll face 2008 winner Ivanovic, who cruised past the up-and-coming Svitolina into her first Grand Slam semi-final appearance since winning it all on the French clay. The set scores were 6-3, 6-2.
Ivanovic's victory wasn't an upset, but the manner in which she accomplished the feat was. The Serbian star hit six (!) double faults and only converted 54 percent of her first serves, but her aggressive play style ultimately made the difference.
Svitolina certainly didn't look the younger player in this match, as she was forced to run all day and was hit by an incredible 37 winners in just 65 minutes on the court. After the match, Ivanovic didn't really know what to make of her win:
Fans of the sport looking for a perfect example of how to dominate your opponent on clay would be wise to tune into the video replay, as Ivanovic put together a masterclass on how to keep the ball deep, step into the lane for winners and take advantage of the slower surface to get your opponent moving.
She'll meet the winner of the match between Muguruza and Safarova in the semi-finals.