Nineteen of the Russian's twenty-one victories have been earned on hard surfaces
A resurgent the Russian player secured his first trophy for over two years with victory over opponent Moutet in the tournament final.
Medvedev, a former world number one, has experienced a difficult season, managing just one match at the major tournaments and experiencing a meltdown at the New York tournament.
The player's varied form on the ATP Tour - and struggles with his serving in especial - caused him dropping out of the world's top 10 and eventually splitting with long-time trainer his previous coach.
Currently training with Thomas Johansson and Rohan Goetzke, Medvedev has consistently progressed in the recent weeks - culminating in a tightly fought three-set win over opponent Moutet.
This marks the player's maiden trophy after the 2023 Rome Masters and initial on a hard surface from March of 2023.
Victory also signifies the Russian has secured 21 championships at 21 distinct events.
"For the first time I am participating in a tournament with my both daughters simultaneously, so to get a title is particularly special," commented ranked player the champion.
"This victory is in dedication of my child Victoria, because the maiden victory I won when my older daughter my daughter was born was for her."
Medvedev, the past champion, had lost his past six championship matches, including in Halle previously this season.
Medvedev's counter-punching play style and recurring outbursts on court had prompted some to doubt if his capacity to play at the elite level was concluded.
Yet the 29-year-old has implemented adjustments in the past month, making an effort to come to the net and play aggressively, supported by an improved serve.
Medvedev recovered from a deficit in the first set against the challenging Moutet, securing four of the final five points to take the lead.
The pair swapped break points in the following set before Moutet, striving for his first tour title, took control to create a decider.
He defended 4 early chances in a competitive final set before the Russian secured a break to 15 to serve for the match.
Suitably, Medvedev secured the win with a shot at the net area, with the Frenchman incapable to control a volley after over two and a half hours.