The top seeded Indo-Czech pair defeated the British brothers pair 6-4 3-6 10-2 in one hour and 17 minutes in the quarterfinals of the USD 1,280,565 hard court event.
Paes and Stepanek saved a break chance in the opening set and converted one of five chances to nose ahead.
They continued their profligate ways, squandering all the our break chances and allowed the rivals to comeback when they failed to save one chance on their own serve.
However, they outplayed the Britons in the Super tie-breaker, winning it comfortably to pocket the match.
They face Daniele Bracciali and Frantisek Cermak in the last-four teams stage.