The 13th seeded combination of Sania and Bethanie got the better of Croatian Darija Jurak and Hungary's Katalin Marosi 6-4, 6-2.
The Indo-American pair now have a tough match on hand as they will take on second-seeded Italians Sara Errani and Roberta Vinci.
Sara and Roberta outplayed American Jill Craybas and South African Chanelle Scheepers in their second-round match.
Another Indian who enjoyed a winning day at the event was Leander Paes [ Images ]. The veteran and his Russian partner Elena Vesnina, who are seeded third, defeated the American-Filipino combine of Raquel Kops-Jones and Treat Conrad Huey 6-4, 7-5.
But there was disappointment for Rohan Bopanna [ Images ], who, along with his Chinese partner Jie Zheng, bowed out of the mixed doubles event after losing 2-6, 5-7 to the Australian-Dutch duo of Anastasia Rodionova and Jean-Julien Rojer.