The Russian tennis player (the eighth racket of the world) lost to the Georgian Nikoloz Basilashvili (25th) in two sets with a score of 6:7, 4:6.
The game lasted 1 hour and 26 minutes.
Basilashvili's next opponent will be the winner of the confrontation Oscar Otte (Germany) - Miomir Ketsmanovich (Serbia).
The prize fund of the tournament is more than €2 million.
Earlier, State Duma deputy Svetlana Zhurova spoke about the return of Medvedev to the first line of the ATP rating.