Bartoli, who won this tournament in 2006, will face India's Sania Mirza in the quarterfinals of the $220,000 event. Mirza defeated Viktoriya Kutuzova of Ukraine 6-4, 6-3 in an earlier match.
Fourth-seeded Francesca Schiavone of Italy also advanced with a 6-3, 0-6, 6-3 win over Taiwan's Chan Yung-jan.
Schiavone will next face seventh-seeded Melinda Czink of Hungary, who defeated American Vania King 6-4, 6-2.
Naka ready for tough scheduleKirilenko, Hantuchova reach quarterfinals