Another Indian, who enjoyed a winning day at the All England Club, was Rohan Bopanna.
Bopanna and his French partner Edouard Roger-Vasselin, who are seeded 14th, defeated Finland's Jarkko Nieminen and Dmitry Tursunov of Russia 7-6 2-6 7-6 in their men's doubles opener.
Bhupathi and his partner Julian Knowle beat Leonardo Mayer and Alberto Ramos to move to the second round of the men's doubles while the sixth seed Indo-US pair of Sania and Liezel Huber put paid to the hopes of Czech Republic's Renata Voracova and Klara Zakopalova in the women's doubles event.
Bhupathi and Knowle did not face breakpoint in any of the sets except second when they dropped their serve twice.
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They also broke their rivals in the second set which was decided by a tie-breaker.
Bhupathi and Knowle will now lock horns against American Nicholas Monroe and Germany's Simon Stadler, who had beaten debutante Indian pair of Divij Sharan and Purav Raja.
In the women's doubles, Sania and Huber got the better of Voracova and Zakopalova 6-3 3-6 6-1 to book their berth in the second round.