Nineteen of Medvedev's twenty-one titles have been earned on hard courts
A resurgent Medvedev secured his initial trophy for 882 days with victory over Frenchman Moutet in the Almaty Open championship match.
The Russian, a ex- top-ranked player, has endured a torrid season, managing just a single victory at the big events and experiencing a difficult moment at the American major.
The player's inconsistency on the ATP Tour - and issues with his service game in specific - caused him exiting of the world's top 10 and ultimately separating with long-term trainer his previous coach.
Currently working with his coach and his other coach, the tennis star has gradually progressed in the last few weeks - climaxing in a tightly fought three-set triumph over Frenchman Moutet.
It is his maiden trophy since the Italian tournament and first on a hard court from that period of that year.
Victory also indicates the Russian has achieved twenty-one victories at 21 various events.
"It's the first time I am participating in a tournament with my children simultaneously, so to secure a title is especially meaningful," stated ranked player Medvedev.
"This title is in honour of my younger daughter my daughter, because the initial championship I got when my older daughter my daughter was born was for her."
The athlete, the past champion, had lost his last six finals, comprising in Halle in the past months.
Medvedev's counter-punching approach and regular outbursts on court had prompted observers to question if his ability to compete at the top level was over.
Yet the player has made changes in the past month, making an effort to approach the net and compete aggressively, reinforced by an improved serving game.
The champion fought back from a deficit in the opening set against the difficult opponent, taking 4 of the final five games to gain the advantage.
The competitors exchanged service breaks in the following set before the Frenchman, attempting for his maiden ATP Tour victory, gained dominance to push for a final set.
He saved four early-game break points in a competitive third set before the champion secured a break to 15 to secure the win.
Fittingly, the winner clinched the win with a point at the front of the court, with Moutet unable to handle a shot after over two and a half hours.