
The Russian was joined in the second round at the Ahoy Arena by Pierre-Hugues Herbert of France, who advanced after just 15 minutes when compatriot Richard Gasquet, the Open Sud de France finalist, retired with a groin injury trailing 3-1.
Top seed Roger Federer is expected on court later on Wednesday as he launches his bid for a return to the world’s number one ranking against Belgian Ruben Bemelmans in a first-time meeting.
The 36-year-old Federer could become the oldest man by three years to hold the number one spot if he reaches the semi-finals at an event he has won twice.
Pouille lost in one hour and 33 minutes, hitting 12 aces in defeat but losing serve four times.
The 34th-ranked Rublev owns his only career title from Umag last summer on clay. Herbert will play Russian Daniil Medvedev in the second round.