Fifth seeds Sania and Cara were clinical in their 6-3 6-3 win over the Serbian-Russian combo in the third round of the clay court Grand Slam.
However, they are now up against the top seeded pair of Su-Wei Hsieh from Taipei and China's Shuai Peng, to whom they have already lost twice this season.
Sania and Cara had ended runners-up to Su-Wei and Shuai at Indian Wells and again lost to them in the quarterfinals of the Madrid event.
Bopanna and his partner Katarina Srebotnik, seeded second, frittered away a good start to lose the mixed doubles quarterfinals 6-2 4-6 5-10 to eight seeds Julia Goerges from Germany and Serbia's Nenad Zimonjic.
Bopanna had made a second round exit from the men's doubles event with Aisam-ul-haq Qureshi.
