Paes and Nestor beat the unseeded Spanish pair of Bautista Agut and Gimeno-Traver 6-4 6-3 in the Euro 604,155 grass court event.
The second seeds converted five break chances and dropped serve thrice in the match that ended in just 59 minutes.
They await the winner of the other first round match between the pairs of Nicolas Mahut/Guillermo Garcia and Lopez/Philipp Oswald.