The second seeded Indo-Italian pair won 6-7(4), 7-6(8), 10-8 in a little over 120 minutes.
They play third seeds Jamie Murray of Scotland and John Peers of Australia in the semi-finals.
Meanwhile, at the Malaysia Open, in Kuala Lumpur, Somdev Devvarman and his South African partner Rik De Voest upset second seeds Nenan Zimonjic of Serbia and Julien Benneteau of France in the quarter-finals.
Somdev and de Voest won 3-6, 6-4, 10-7 in 72 minutes.
Image: Leander Paes