Schiavone posted an easy 6-0, 6-0 whitewash of overmatched Russian qualifier Vesna Manasieva on the indoor hardcourts at Stade Coubertin.
Meanwhile, No. 6 seed Shahar Peer of Israel blasted French crowd favorite Alize Cornet 6-4, 6-1.
In a somewhat surprising finish, Swiss elder stateswoman Patty Schnyder downed seventh-seeded Frenchwoman Virginie Razzano 6-3, 7-6 (7-3).
Also getting a second-round win was American teenager Melanie Oudin, who registered a 6-3, 6-0 victory over Romanian Sorana Cirstea.
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