Defencing champions Leander Paes and Radek Stepanek were shocked in the first round while Rohan Bopanna and Rajeev Ram could not go beyond the second round.
However, in the mixed doubles, all four Indian players are still alive with Sania and her new American partner Bob advancing to quarter-finals with a come-from-behind win.
The third seeded Indo-American team defeated the US team of Abigail Spears and 4-6, 6-1, 10-4 in the second round.
They will now fight it out with Czech team of Lucie Hradecka and Frantisek Cermak for a place in the semifinals.
Bopanna and his Taipei partner Su-Wei Hsieh also moved to the last-eight stage with a 6-1, 7-5 win over Daniela Hantuchova of Slovakia and Fabio Fognini of Italy. They next clash with Kveta Peschke of Czech Republic and Marcin Matkowski of Poland. Sania and Bopanna would fight against each other in the semi-finals if they win their next matches.