19 of the Russian's 21 titles have been earned on hard surfaces
A comeback the Russian player secured his initial championship for nearly 30 months with a win over Frenchman Moutet in the Almaty Open title decider.
Medvedev, a former number one, has endured a torrid year, achieving just one win at the big events and experiencing a setback at the American major.
The player's unpredictability on the tennis tour - and difficulties with his service game in particular - resulted in him falling of the world's top 10 and finally separating with long-time mentor his previous coach.
Presently training with his coach and Rohan Goetzke, Medvedev has gradually improved in the recent weeks - climaxing in a tightly fought 7-5 4-6 6-3 victory over challenger Moutet.
This represents his first title since the 2023 Rome Masters and first on a hard surface after spring of 2023.
The win also signifies he has won twenty-one championships at twenty-one distinct tournaments.
"For the first time I have attended a event with my children at once, so to win a title is really nice," stated tennis professional Medvedev.
"This title is in honour of my second daughter Victoria, because the initial championship I got when my older daughter her name was born was for her."
The athlete, the 2021 US Open champion, had been defeated in his last six championship matches, including in that event previously this season.
The player's counter-punching approach and frequent reactions on the tennis court had prompted commentators to question if his capacity to compete at the highest level was concluded.
However the athlete has altered his approach in the last few weeks, making an effort to approach the net and play assertively, backed up by an enhanced serve.
Medvedev fought back from a deficit in the opening set against the difficult opponent, securing 4 of the concluding five exchanges to gain the advantage.
The pair swapped break points in the following set before the Frenchman, attempting for his initial professional title, gained dominance to push for a decider.
He saved 4 early chances in a close final set before the Russian won the break to fifteen to secure the win.
Appropriately, Medvedev secured victory with a point at the net, with Moutet failing to manage a return after two hours and 38 minutes.