Bopanna was playing his second match of the day, after having lost the men's doubles semifinals to top seeds Mike Bryan and Bob Bryan.
Marion Bartoli battled more than three hours on Wednesday to get past Russian Vera Dushevina and into the third round of the WTA's green clay Charleston tournament.
Failing in their attempts to win a second title in a row, Sania Mirza and Elena Vesnina crashed out of the Qatar Open after a straight-sets defeat against Vera Dushevina and Shahar Peer.
The top five seeds at the WTA San Diego Open sailed into the quarter-finals on Thursday, with only China's number four Peng Shuai taken to three-sets.
Bethanie Mattek-Sands battled through a bout of stomach flu to beat Vera Dushevina 6-4, 6-4 in her opening match at the WTA and ATP Master Series event on Wednesday.