The seventh seeds saved all five break-points they faced to defeat second seeds Max Mirnyi and Daniel Nestor 7-6(7), 6-4 in one hour and 24 minutes while Paes-Stepanek overcame unseeded Austro-Canadian pairing of Jurgen Melzer and Milos Raonic 7-5, 6-7(4), 10-5.
Bhupathi and Bopanna are yet to qualify for the ATP World Tour Finals in London from Nov 5 to 12 and are currently No 8 in the ATP Doubles Team Rankings Race To London.
They will next play eleventh-ranked Britons Colin Fleming and Ross Hutchins in the semis, who also remain in the hunt for a berth in the season-ending championship. Bopanna and Bhupathi are 11-7 at ATP World Tour Masters 1000 tournaments which includes one final appearance Cincinnati where they lost to Lindstedt-Tecau.
Photos: Katrina Kaif, Shamita Shetty at Mumbai airport
Photos: Varun Dhawan, Alia Bhatt promote 'Badri...' on 'Dil Hai Hindustani'
In pictures: 15 facts about kissing that will surprise you
Photos: Shahid Kapoor and Mira Rajput at cafe in Bandra
Photos: Deepika Padukone, Neha Dhupia and Soha Ali Khan at event