The Wimbledon champion, who dropped the second set before coming through, goes on to face Silvia Soler-Espinosa of Spain for a place in the last 32??after she beat France’s Pauline Parmentier??6-4 6-3.
Former top-ranked player Caroline Wozniacki stopped Karin Knapp’s good run on clay this season with a 6-3 6-0 win to reach the second round at Roland Garros.
Knapp arrived in Paris on the back of her second career title at the Nuremberg Open last week and with an 8-2 record on clay.
But she was no match for the fifth-seeded Wozniacki, who made it to the quarter-finals at Roland Garros five years ago.
Wozniacki saved the only break point she faced in the first set and limited her mistakes to nine unforced errors.
Russia’s Svetlana Kuznetsova, a finalist at Roland Garros in 2004, was also taken to a deciding set by Kiki Bertens from Holland before coming through 6-1 4-6 6-2.
Zarina Diyas, seeded 32, beat Germany’s Dinah Pfizenmaier 6-4 6-1 while Julia Goerges was a winner against CoCo Vandeweghe 6-2 5-7 6-1.
Hard-hitting Taylor Townsend, who made it to the round of 32 last year, was beaten by Czech Tereza Smitkova 6-3 6-4.
Townsend has struggled to return to her best form after suffering an ankle injury that caused her to miss two month on the WTA Tour.