Reigning champion Garbine Muguruza survived a tough French Open second-round challenge from Anett Kontaveit, while men's title-holder Novak Djokovic stormed into the last 32 on Wednesday.
The fourth seed recovered to claw out a 6-7 (4/7), 6-4, 6-2 win and book a third-round clash with Yulia Putintseva of Kazakhstan.
Djokovic needed little over two hours to see off Portugal's Joao Sousa 6-1, 6-4, 6-3 as he bids to become the first man in the Open era to win each Grand Slam twice.
Djokovic goes on to face Argentina's Diego Schwartzman for a place in the last 16.Record nine-time champion Rafael Nadal marched into the third round after crushing Dutchman Robin Haase 6-1, 6-4, 6-3 on Wednesday.
The Spaniard will play Nikoloz Basilashvili of Georgia for a place in the last 16. Sixth seed Dominic Thiem charged into round three with a routine win over Simone Bolelli, sweeping the Italian aside 7-5, 6-1, 6-3.
The Austrian will meet American 25th seed Steve Johnson next.
Hopes of a first French men's champion since Yannick Noah in 1983 suffered a huge blow as 12th seed Jo-Wilfried Tsonga lost to Renzo Olivo 7-5, 6-4, 6-7 in his opening match.
American qualifier Bethanie Mattek-Sands halted Petra Kvitova's comeback, defeating the popular Czech 7-6 (7/5), 7-6 (7/5).
Venus Williams shook off a slow start to ease into the third round with a 6-3, 6-1 victory over Japan's Kurumi Nara.
Paes, Bopanna advance
Rohan Bopanna and Leander Paes crossed the first-round hurdle in men’s doubles with their respective partners while Sania Mirza crashed out of the women’s doubles after a first-round loss on Wednesday.
Bopanna and his Uruguayan partner Pablo Cuevas outplayed the French duo of Mathias Bourgue and Paul-Henri Mathieu 6-1, 6-1.
Paes and his American partner Scott Lipsky beat Radu Albot and Hyeon Chung 7-6 (7- 5), 4-6, 6-2.
However, fourth seeded pair of Sania and Yaroslava Shvedova of Kazakhstan were stunned by unseeded Anastasia Pavlyuchenkova of Russia and Australia’s Daria Gavrilova 6-7 (5-7), 6-1, 2-6.