Nineteen of Medvedev's 21 victories have been achieved on hard courts
A comeback the Russian player claimed his first title for over two years with success over Frenchman Moutet in the tournament final.
The athlete, a ex- top-ranked player, has endured a torrid year, winning just a single victory at the major tournaments and suffering a meltdown at the US Open.
His varied form on the tennis tour - and struggles with his serving in especial - led to him exiting of the elite rankings and ultimately separating with long-time mentor his previous coach.
Presently training with his coach and his other coach, he has gradually improved in the last few weeks - peaking in a hard-fought 7-5 4-6 6-3 triumph over challenger Corentin Moutet.
This marks the player's maiden title after the Rome competition and maiden on a hardcourt after March of the previous year.
Victory also signifies the Russian has achieved 21 victories at 21 various tournaments.
"It's the first time I am participating in a tournament with my two daughters simultaneously, so to secure a title is especially meaningful," commented tennis professional Medvedev.
"This victory is in tribute of my child Victoria, because the maiden victory I got when my older daughter her name was delivered was for her."
The athlete, the 2021 US Open champion, had lost his previous six championship matches, featuring in that event previously this season.
The player's counter-punching play style and frequent outbursts on the playing surface had led commentators to doubt if his capacity to play at the elite level was finished.
However the 29-year-old has altered his approach in the past month, striving to come to the net and compete assertively, backed up by an improved serving game.
He fought back from a disadvantage in the first set against the tricky Frenchman, taking 4 of the final five games to go ahead.
The competitors traded service breaks in the following set before the Frenchman, attempting for his first professional victory, gained dominance to push for a final set.
He defended 4 early-game chances in a close deciding set before Medvedev secured a break to that score to serve for the match.
Suitably, Medvedev secured victory with a shot at the front of the court, with Moutet failing to manage a volley after two hours and 38 minutes.