Sania and her Chinese partner Jie Zheng lost to Australian pair of Ashleigh Barty and Casey Dellacqua 6-2 6-2 in the last-4 clash.
The Indo-Chinese pair will now take on 8th seeded Australian pair of Ashleigh Barty and Casey Dellacqua in the semi finals on Thursday.
Playing just their fourth event together, third seeds Sania and Jie pipped the second-seeded pair of Anabel Medina Garrigues and Katarina Srebotnik 6-3, 6-4 in the summit clash.
Sania Mirza, the only Indian female to win Grand Slam title, has won two titles so far this season. Both the titles came with American partner Bethanie Mattek-Sands, who now plays only singles.
Sania had played with American Lizel Huber at the Wimbledon where she made a third round exit.
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.
The Asian pair of Rohan Bopanna and Jie Zheng defeated unseeded Swedish-Hungarian duo Johan Brunstrom and Katalin Marosi 7-6(4), 3-6, 6-1 in one hour and 29 minutes.
Bopanna and Mahesh Bhupathi progressed to the quarterfinals of the men's doubles event with their respective partners even as Sania crashed out of the women's doubles competition last night.
The world number 11 crushed Australian wild card Matthew Ebden 6-2, 6-4, 6-3.
Errani, a semi-finalist at the French Open earlier this month had gone into her first round clash carrying a groin injury which forced her out of Eastbourne last week.