The Sania-Dodig pair beat the duo of Elina Svitolina (Ukraine) and Artem Sitak (New Zealand) 6-2 6-4 in a second round match to book a last-eight spot.
However, Rohan Bopanna, partnering with Pablo Cuevas of Uruguay, crashed out of the men's doubles event after losing to Jamie Murray (Great Britain) and Bruno Soares (Brazil) 6-7 2-6 in a third round match.
The Indian men's doubles duo of Purav Raja and Divij Sharan also lost their third round match to the pair of Ryan Harrison (USA) and Michael Venus (New Zealand) 6-4 6-7 2-6.
In boys' singles also, Abhimanyu Vannemreddy lost his opening round match against Clement Tabur of France 0-6 1-6.