The unseeded Indo-South African pair lost to their second seeded opponents 4-6 6-4 6-10 in a gruelling one hour and 28 minute first round contest of the hard court event.
The two pairs refused to give an inch to each other but the Indo-South African pair lost the plot in the deciding set.
Peya-Soares combine was the better of the two pairs in the first set, winning two service breaks. Bhupathi and Anderson did the same once but lost the first set 4-6.
In the decider, Peya and Soares served better and won more return points to run away 10-6 winners and wrap up the match.
Also Read
The seventh seeded 'Indo-Pak Express' duo play the Colombian pair of Juan Sebastian Cabal and Robert Farah in the second round.
In the women's tournament, being held simultaneously, Sania Mirza and her Zimbabwean partner Cara Black, seeded fifth in the tournament, have advanced to the second round after defeating Taipei pair of Hao-Ching Chan and Yung-Jan Chan.