Nineteen of the Russian's 21 titles have been earned on hard courts
A revitalized the Russian player secured his maiden championship for over two years with victory over Frenchman Moutet in the tournament final.
Medvedev, a ex- number one, has endured a torrid year, winning just a single victory at the big events and suffering a difficult moment at the US Open.
His unpredictability on the tennis tour - and difficulties with his serving in particular - caused him dropping out of the world's top 10 and ultimately parting ways with long-term trainer Cervara.
Presently training with Thomas Johansson and his other coach, Medvedev has consistently advanced in the recent weeks - culminating in a closely contested three-set triumph over Frenchman Moutet.
It is Medvedev's first championship after the 2023 Rome Masters and initial on a hardcourt since that period of the previous year.
Victory also indicates Medvedev has secured twenty-one victories at 21 distinct tournaments.
"This marks the first occasion I am participating in a tournament with my two daughters simultaneously, so to win a championship is especially meaningful," commented world number 14 Medvedev.
"This title is in honour of my child my daughter, because the maiden victory I won when my first daughter her name was born was for her."
Medvedev, the past champion, had failed in his last six finals, including in that event earlier this year.
The player's defensive play style and frequent reactions on the playing surface had prompted observers to question if his ability to compete at the top level was over.
Yet the 29-year-old has implemented adjustments in the past month, striving to come to the net and compete assertively, supported by an enhanced serving game.
The champion recovered from a deficit in the first set against the difficult Moutet, taking 4 of the concluding five games to take the lead.
The competitors exchanged service breaks in the following set before the challenger, striving for his initial tour championship, took control to create a decider.
Moutet defended 4 early chances in a close final set before the champion secured a break to that score to secure the win.
Appropriately, the winner secured the title with a point at the net, with Moutet unable to manage a volley after over two and a half hours.