Nineteen of Medvedev's 21 titles have been won on hardcourt
A resurgent Medvedev secured his maiden title for 882 days with success over Frenchman Moutet in the Almaty Open final.
Medvedev, a former top-ranked player, has had a challenging period, winning just one match at the Grand Slams and experiencing a difficult moment at the American major.
The player's inconsistency on the tennis tour - and struggles with his service game in especial - caused him dropping out of the elite rankings and eventually parting ways with former trainer his previous coach.
Presently training with Johansson and Rohan Goetzke, Medvedev has steadily progressed in the past month - peaking in a closely contested competitive triumph over challenger Corentin Moutet.
This marks the player's initial championship after the Rome competition and maiden on a hardcourt since that period of the previous year.
The win also signifies he has achieved 21 championships at 21 distinct competitions.
"For the first time I have attended a event with my two daughters at once, so to get a title is particularly special," commented ranked player Medvedev.
"This title is in tribute of my second daughter my daughter, because the initial championship I got when my older daughter Alisa was delivered was for her."
The athlete, the 2021 US Open champion, had been defeated in his last six championship matches, comprising in Halle previously this season.
Medvedev's defensive play style and regular outbursts on court had led commentators to question if his skill to compete at the highest level was concluded.
Yet the 29-year-old has implemented adjustments in the past month, making an effort to approach the net and perform positively, reinforced by an better service.
The champion came back from a deficit in the first set against the tricky opponent, securing 4 of the last five points to gain the advantage.
The competitors traded service breaks in the following set before Moutet, striving for his initial ATP Tour victory, seized the initiative to push for a third set.
He defended 4 early-game break points in a close deciding set before the champion secured a break to 15 to serve for the match.
Appropriately, Medvedev earned victory with a point at the net area, with the Frenchman unable to manage a shot after over two and a half hours.