The India duo will take on the winner of the match between Serbs Janko Tipsarevic and Viktor Troicki and the Spanish combo of Marc Lopez and Rafael Nadal.
Another Indian advancing to the second round is Rohan Bopanna, who, along with Pakistani partner Aisam-ul-haq Qureshi, got a bye in the first round.
The fifth seed Indo-Pak pair next face Argentine duo of Juan Ignacio Chela and Juan Monaco, who overcame the challenge of Austria's Oliver Marach and Belgium's Dick Norman 6-4, 3-6, 10-6 in their opening round match.
No Indian is competing in the singles main draw with Somdev Devvarman failing to cross the qualifying hurdle. He lost in the first round.
Lee-Hesh in second round of Cincinnati Masters
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