Nineteen of the Russian's twenty-one titles have been achieved on hard courts
A resurgent the Russian player secured his maiden trophy for over two years with success over Frenchman Moutet in the tournament title decider.
Medvedev, a ex- number one, has had a torrid season, winning just one win at the Grand Slams and undergoing a setback at the New York tournament.
His unpredictability on the tennis tour - and struggles with his serving in especial - led to him falling of the world's top 10 and eventually splitting with long-term trainer Gilles Cervara.
Now collaborating with Thomas Johansson and his other coach, Medvedev has steadily progressed in the last few weeks - culminating in a closely contested three-set victory over Frenchman Moutet.
This marks his initial title since the 2023 Rome Masters and first on a hardcourt from that period of the previous year.
Victory also means the Russian has secured twenty-one victories at twenty-one different events.
"It's the first time I'm at a tournament with my both daughters together, so to secure a title is especially meaningful," said tennis professional Medvedev.
"This victory is in honour of my second daughter my daughter, because the first title I achieved when my first daughter her name was born was for her."
The tennis star, the 2021 US Open champion, had failed in his past six finals, comprising in that event in the past months.
Medvedev's retrieving approach and frequent emotional displays on the playing surface had prompted observers to question if his ability to play at the top level was concluded.
However the 29-year-old has altered his approach in the past month, striving to come to the net and perform aggressively, reinforced by an better serve.
He fought back from a break down in the initial set against the tricky opponent, taking four of the final five exchanges to go ahead.
Both players swapped breaks in the middle set before the challenger, bidding for his maiden professional championship, took control to push for a final set.
The opponent saved four initial opportunities in a tight deciding set before the champion secured a break to that score to serve for the match.
Appropriately, he secured the win with a point at the net, with Moutet failing to manage a return after over two and a half hours.