Nineteen of Medvedev's 21 titles have been earned on hard surfaces
A revitalized Medvedev claimed his first trophy for 882 days with a win over Frenchman Moutet in the tournament championship match.
The athlete, a ex- world number one, has had a difficult season, managing just one win at the big events and suffering a setback at the New York tournament.
The player's varied form on the tennis tour - and difficulties with his serving in particular - caused him dropping out of the elite rankings and eventually parting ways with long-time coach Gilles Cervara.
Presently collaborating with Thomas Johansson and his other coach, Medvedev has consistently progressed in the last few weeks - culminating in a hard-fought three-set win over opponent Moutet.
This represents his maiden trophy after the 2023 Rome Masters and first on a hard surface after that period of that year.
Victory also signifies Medvedev has achieved twenty-one titles at twenty-one distinct tournaments.
"This marks the first occasion I have attended a competition with my both daughters simultaneously, so to secure a trophy is really nice," said ranked player Daniil Medvedev.
"This title is in dedication of my second daughter my daughter, because the first title I won when my child Alisa was born was for her."
The tennis star, the 2021 US Open champion, had failed in his last six title deciders, comprising in the German tournament in the past months.
The player's defensive play style and frequent emotional displays on court had led observers to question if his skill to play at the top level was finished.
However the athlete has implemented adjustments in the last few weeks, making an effort to advance forward and play assertively, supported by an better service.
Medvedev came back from a break down in the first set against the challenging Moutet, taking four of the final five points to go ahead.
Both players swapped service breaks in the middle set before the challenger, bidding for his initial professional victory, gained dominance to push for a final set.
Moutet rescued 4 initial opportunities in a close final set before the Russian broke to that score to secure the win.
Fittingly, Medvedev clinched victory with a shot at the net area, with the Frenchman failing to manage a return after a lengthy match.