Llodra defeated No. 2-seeded Janko Tipsarevic 6-3, 7-6 (7-4) without facing a break point. Llodra had 13 aces in winning more than three-quarters of the points on serve.
He only managed to convert one of eight break-point chances but that was worth the first set.
Gasquet defeated countryman Gael Monfils 6-3, 2-6, 6-3 by posting three of his four breaks in the third set. Simon, who had 12 aces, handled Arnau Brugues-Davi 7-6 (7-5), 6-2. Benneteau was a 6-4, 6-4 winner over Victor Hanescu and Paire earned his quarterfinal slot with a win Wednesday.
Other second-round results saw Sergiy Stakhovsky get by Tatsuma Ito 6-7 (4-7), 6-4, 7-6 (7-3) and Jan Hajek advance when, after Hajek went up 6-0, 4-2, seventh-seeded Viktor Troicki retired.
There will be at least two French players in the semifinals because Gasquet plays Benneteau and Paire draws Simon in the quarterfinals. Llodra meets Hajek and Stakhovsky goes against Jarkko Nieminen in the other matches Friday.