Bhupathi and Nestor notched up a 7-6 (3), 6-3 win over their French opponents in a 79-minute opening round match in the USD 4,330,625 prize money hard court tournament.
The third-seeded Indo-Bahamian pair came from behind to force a tie-break in the first-set but they were in control of the second set. Bhupathi and Nestor won 82 per cent of their service points and saved both break points they faced.
Another Indian, Leander Paes and his French partner Michael Llodra, seeded seventh, have also advanced in the second round after defeating Germany's Christopher Kas and Philipp Kohlschreiber 6-3, 7-5.