Joining the Indian number two seed in the quarterfinals were top-seed Jordan Thompson of Australia and the No.3 and 4 seeds Duckhee Lee (Korea) and Mohammed Safwat (Egypt).
The two other Indian players in the fray - Arjun Khade and Abhinav Sanjeev Shanmugam, both qualifiers, fell by the wayside, losing in straight sets to Safwat and Lee respectively.
In the Bhambri-Rawat match, the former was in control and never dropped serve while breaking his rival's delivery twice in each set.
In the quarterfinals, he will meet Japan's Yasutaka Uchiyama, who beat Cem Ilkel of Turkey 6-4, 7-5.
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The top-seed Thompson played a classical all-round game to oust qualifier Wishaya Trongcharoencharikul of Thailand in straight sets 6-3, 6-2.
He served and volleyed at times to keep the Thai player off balance. He meet Serbia's Danilo Petrovic for a place in the semifinals.
The Serbian advanced when seventh-seeded Enrique Lopez Perez of Spain conceded after having lost the first set.
In the doubles, top-seeded Ratiwatana twins Sanchai and Sonchat needed only 35 minutes to send the wild card Indian pair of Anvit Bendre and Kunal Anand packing for a loss of only two games. They will now meet Ilkel and Petrovic of Serbia in the semifinals tomorrow.
Antoine Escoffier (Fra) bt Gerard Granollers (ESP) 7-6(2), 6-2; Duckhee Lee (KOR-X3) bt Abhinav Sanjeev Shanmugam 6-2, 6-4; Yasutaka Uchiyama (Japan-X6) bt Cem Ilkel (Turkey) 6-4, 7-5; Yuki Bhambri (X2) bt Sidharth Rawat 6-2, 6-3.
Mens doubles (QF): Sanchai Ratiwatana/Sonchat Ratiwatana (Thailand-X1) bt Kunal Anand/Anvit Bendre 6-0, 6-2; Cem Ilkel (Turkey)/Danilo Petrovic (SRB) bt Prajnesh Gunneswaran/N Vijay Sundar Prashanth 6-4, 2-6, [10-4].