Nineteen of the Russian's 21 titles have been earned on hard courts
A resurgent the Russian player secured his maiden championship for 882 days with a win over Frenchman Moutet in the tournament championship match.
Medvedev, a former top-ranked player, has had a torrid period, achieving just one win at the Grand Slams and undergoing a difficult moment at the US Open.
His varied form on the ATP Tour - and difficulties with his serve in specific - caused him dropping out of the elite rankings and finally separating with long-time mentor his previous coach.
Presently working with his coach and his other coach, Medvedev has consistently improved in the last few weeks - peaking in a closely contested three-set win over challenger Moutet.
It is his initial trophy following the 2023 Rome Masters and maiden on a hard surface since March of the previous year.
Victory also signifies the Russian has won 21 championships at 21 different events.
"It's the first time I am participating in a competition with my two daughters together, so to win a championship is especially meaningful," stated world number 14 Daniil Medvedev.
"This victory is in tribute of my younger daughter her name, because the maiden victory I achieved when my older daughter my daughter was born was for her."
The athlete, the former major winner, had failed in his last six finals, comprising in the German tournament previously this season.
Medvedev's counter-punching approach and recurring reactions on the playing surface had led some to question if his ability to play at the elite level was finished.
But the athlete has implemented adjustments in the last few weeks, making an effort to come to the net and compete aggressively, backed up by an improved service.
He fought back from a break down in the initial set against the tricky Frenchman, taking four of the last five exchanges to go ahead.
The competitors exchanged break points in the middle set before the challenger, attempting for his initial professional victory, seized the initiative to push for a third set.
He saved 4 early opportunities in a tight final set before the champion won the break to that score to serve for the match.
Suitably, the winner secured the win with a shot at the net area, with his opponent incapable to control a return after over two and a half hours.