Nineteen of Medvedev's twenty-one championships have been achieved on hard courts
A comeback the Russian player claimed his maiden trophy for nearly 30 months with a win over opponent Moutet in the Almaty Open final.
The athlete, a ex- top-ranked player, has had a difficult season, achieving just one win at the big events and experiencing a meltdown at the American major.
The player's inconsistency on the professional circuit - and issues with his serving in especial - resulted in him dropping out of the elite rankings and ultimately splitting with former coach Gilles Cervara.
Currently collaborating with his coach and his other coach, he has consistently progressed in the past month - peaking in a closely contested three-set victory over challenger Moutet.
This marks the player's maiden championship following the Rome competition and maiden on a hardcourt from that period of that year.
The win also indicates the Russian has achieved 21 titles at 21 distinct tournaments.
"This marks the first occasion I'm at a competition with my both daughters together, so to secure a trophy is particularly special," stated ranked player the champion.
"This championship is in dedication of my child my daughter, because the first title I won when my first daughter her name was born was for her."
The athlete, the former major winner, had lost his past six finals, featuring in the German tournament previously this season.
His defensive play style and recurring reactions on court had prompted observers to doubt if his skill to play at the highest level was concluded.
Yet the athlete has altered his approach in recent weeks, striving to come to the net and compete positively, backed up by an better service.
The champion fought back from a deficit in the first set against the challenging opponent, winning 4 of the final five exchanges to go ahead.
Both players traded service breaks in the following set before the Frenchman, attempting for his maiden ATP Tour victory, seized the initiative to push for a final set.
He saved four early-game chances in a tight third set before the champion secured a break to that score to close out the victory.
Appropriately, Medvedev secured victory with a shot at the net, with his opponent failing to manage a volley after two hours and 38 minutes.