The 26-year-old Russian tennis player outplayed Laszlo Jere from Serbia in the second round match in three sets with a score of 6:3, 6:4, 6:3.
The game lasted 2 hours and 36 minutes.
The next opponent of Medvedev, who ranks second in the rating of the Association of Tennis Professionals (ATP), will be the winner of the confrontation between Miomir Kecmanovic (Serbia) and Alexander Bublik (Kazakhstan).
The total prize fund of Roland Garros is about €43 million.
Earlier it was reported that Veronika Kudermetova reached the third round of Roland Garros.