The sixth-seeded Russian broke Bremond four times on the outdoor clay and will next face Maria Jose Martinez Sanchez of Spain, who beat Masa Zec Peskiric of Slovenia 7-5, 5-7, 6-2.
Roberta Vinci exploited second-seeded Flavia Pennetta's erratic service game to win 6-1, 6-2 in an all-Italian matchup. Pennetta had nine double-faults.
Vinci will next play Anastasiya Yakimova of Belarus, who rallied to beat Magdalena Rybarikova of Slovakia 3-6, 6-3, 6-0.
Top-seeded Cornet loses in first round in Spain
Top-seed Cornet ousted at Barcelona
