19 of Medvedev's twenty-one titles have been achieved on hardcourt
A resurgent the Russian player won his first championship for 882 days with success over Frenchman Moutet in the competition championship match.
Medvedev, a ex- world number one, has had a difficult season, achieving just a single victory at the Grand Slams and suffering a meltdown at the New York tournament.
His unpredictability on the tennis tour - and difficulties with his service game in particular - resulted in him falling of the elite rankings and eventually parting ways with long-term mentor his previous coach.
Presently collaborating with his coach and Rohan Goetzke, Medvedev has consistently improved in the last few weeks - peaking in a hard-fought 7-5 4-6 6-3 triumph over Frenchman Moutet.
It is his first title after the 2023 Rome Masters and initial on a hard court since that period of the previous year.
The win also signifies Medvedev has achieved twenty-one victories at twenty-one various events.
"This marks the first occasion I have attended a tournament with my both daughters at once, so to get a trophy is particularly special," said tennis professional Daniil Medvedev.
"This championship is in tribute of my child my daughter, because the first title I achieved when my older daughter her name was born was for her."
Medvedev, the 2021 US Open champion, had been defeated in his past six championship matches, including in Halle earlier this year.
His counter-punching approach and recurring emotional displays on court had led some to wonder if his ability to compete at the top level was finished.
However the athlete has made changes in recent weeks, attempting to advance forward and play positively, backed up by an enhanced service.
Medvedev came back from a break down in the opening set against the difficult Moutet, taking 4 of the last five exchanges to take the lead.
The competitors traded break points in the middle set before the challenger, attempting for his maiden professional victory, seized the initiative to force a decider.
He defended four early chances in a close final set before the champion won the break to fifteen to secure the win.
Suitably, the winner earned the win with a rally at the net, with his opponent incapable to control a volley after a lengthy match.