Nineteen of the Russian's 21 titles have been achieved on hard surfaces
A resurgent Medvedev secured his initial trophy for 882 days with success over opponent Moutet in the tournament final.
The athlete, a ex- top-ranked player, has experienced a challenging year, winning just one win at the Grand Slams and experiencing a meltdown at the American major.
The player's unpredictability on the professional circuit - and issues with his service game in especial - caused him falling of the top ten and ultimately separating with long-time coach his previous coach.
Presently training with his coach and his other coach, Medvedev has steadily progressed in the past month - peaking in a hard-fought 7-5 4-6 6-3 victory over Frenchman Corentin Moutet.
It is Medvedev's first trophy following the Rome competition and maiden on a hardcourt from that period of 2023.
Success also indicates Medvedev has secured 21 victories at twenty-one distinct tournaments.
"This marks the first occasion I am participating in a tournament with my two daughters together, so to win a title is especially meaningful," said world number 14 the champion.
"This title is in tribute of my second daughter her name, because the first title I won when my child my daughter was born was for her."
The athlete, the 2021 US Open champion, had been defeated in his previous six finals, comprising in the German tournament previously this season.
The player's counter-punching play style and recurring emotional displays on court had led some to doubt if his skill to compete at the highest level was concluded.
But the athlete has implemented adjustments in recent weeks, attempting to approach the net and play aggressively, backed up by an better serving game.
Medvedev fought back from a break down in the opening set against the tricky Frenchman, winning 4 of the concluding five games to gain the advantage.
The pair exchanged breaks in the middle set before Moutet, bidding for his initial tour title, seized the initiative to push for a decider.
He saved 4 early break points in a competitive third set before the champion won the break to fifteen to secure the win.
Suitably, he clinched the win with a shot at the net area, with his opponent failing to control a shot after a lengthy match.