Nineteen of Medvedev's 21 titles have been earned on hard courts
A revitalized the Russian player claimed his first title for nearly 30 months with a win over Frenchman Moutet in the tournament championship match.
Medvedev, a former world number one, has experienced a difficult season, managing just one match at the major tournaments and suffering a meltdown at the New York tournament.
His unpredictability on the professional circuit - and struggles with his serve in especial - caused him dropping out of the elite rankings and eventually separating with former mentor Cervara.
Currently working with Thomas Johansson and his other coach, the tennis star has consistently progressed in the last few weeks - peaking in a hard-fought competitive triumph over Frenchman Moutet.
It is Medvedev's initial trophy since the 2023 Rome Masters and first on a hardcourt from spring of the previous year.
The win also indicates the Russian has achieved twenty-one championships at 21 various competitions.
"This marks the first occasion I am participating in a competition with my two daughters simultaneously, so to win a championship is especially meaningful," commented world number 14 Daniil Medvedev.
"This victory is in tribute of my child her name, because the maiden victory I got when my first daughter my daughter was delivered was for her."
Medvedev, the 2021 US Open champion, had lost his last six championship matches, including in Halle earlier this year.
The player's retrieving approach and regular emotional displays on the playing surface had led some to doubt if his skill to play at the elite level was over.
However the 29-year-old has made changes in the last few weeks, striving to advance forward and perform assertively, reinforced by an better serving game.
The champion came back from a disadvantage in the first set against the tricky Moutet, taking four of the last five points to go ahead.
Both players swapped breaks in the second set before the challenger, bidding for his maiden tour championship, seized the initiative to create a final set.
He defended four early chances in a competitive third set before the Russian secured a break to that score to serve for the match.
Fittingly, the winner earned the title with a shot at the front of the court, with his opponent incapable to control a return after a lengthy match.