The second-seeded Indo-American duo defeated unseeded Bourgue-Barrere 6-2, 7-5 in their first round encounter to sail through to the last eight.
India's Sania Mirza and her Croatian partner Ivan Dodig rallied from a set down to enter the French Open mixed-doubles quarter-finals at Roland Garros on Wednesday.
They beat Jeremy Chardy and Jonathan Eysseric of France 7-6 (4), 7-6 (2) to advance into the second round of the French Open.
Federer picked French teenager Jonathan Eysseric because he is a left-hander, like world No 2 Rafael Nadal, and has a power-based game similar to the Spaniard's.
India's Leander Paes and Brazil's Andre Sa crashed out in the men's doubles event of the Australian Open after losing 6-4, 6-7, 4-6 to Max Mirnyi and Treat Huey in the first round on Thursday.
Indian tennis stars Leander Paes and Sania Mirza cruised into the mixed doubles pre-quarterfinals of the French Open along with their respective partners in Paris on Thursday. While Paes and his Swiss Partner Martina Hingis, winners of three Grand Slam titles last season, beat German-Colombian pair of Anna-Lena Groenefeld and Robert Farah 6-4 6-4 in the opening round, second seeded Sania and Ivan Dodig of Croatia eased past French duo of Mathilde Johansson and Tristan Lamasine 6-4 6-3 in their opener later in the day. However, it was curtains for another Indian Purav Raja, who, along with Ivo Karlovic of Croatia, crashed out in the opening round of the men's doubles event. The duo lost 1-6 2-6 against ninth seeded Polish-Austrian pair of Lukasz Kubot and Alexander Peya.