Sixth-seeded Paes and Damm knocked out the Czech pair 6-1 6-2.\n\n
The Indo-Belarussian pair beat Argentina's Martin Garcia and Sebastian Prieto at Flushing Meadows.
Britain's grass season claimed its first ATP tour victims when seeds Julien Benneteau, Lee Hyung-Taik and Fernando Verdasco fell.
The top seeds beat Gaston Etlis and Martin Rodriques of Argentina in straight sets.
American twins Bob and Mike Bryan beat top seeds Jonas Bjorkman of Sweden and Belarussian Max Mirnyi in the final at the US Open.
Leander Paes and Martina Hingis eased into the mixed doubles pre-quarterfinals of the Wimbledon championships but it was curtains for Rohan Bopanna and his Spanish partner Maria Jose Martinez Sanchez.