19 of Medvedev's twenty-one titles have been earned on hard surfaces
A resurgent the Russian player claimed his first trophy for 882 days with success over opponent Moutet in the Almaty Open title decider.
Medvedev, a former world number one, has endured a difficult period, winning just one win at the Grand Slams and suffering a difficult moment at the US Open.
The player's varied form on the professional circuit - and struggles with his service game in especial - resulted in him falling of the elite rankings and eventually parting ways with long-term coach Gilles Cervara.
Currently working with his coach and Rohan Goetzke, the tennis star has steadily progressed in the last few weeks - climaxing in a tightly fought competitive triumph over opponent Moutet.
This marks Medvedev's initial title following the 2023 Rome Masters and first on a hard court since March of that year.
Success also indicates Medvedev has won 21 titles at 21 different competitions.
"This marks the first occasion I am participating in a tournament with my children together, so to win a title is really nice," said world number 14 Daniil Medvedev.
"This championship is in tribute of my younger daughter Victoria, because the maiden victory I won when my older daughter Alisa was born was for her."
The tennis star, the former major winner, had lost his previous six championship matches, including in the German tournament previously this season.
His retrieving approach and recurring reactions on the playing surface had prompted some to doubt if his skill to perform at the elite level was over.
But the player has implemented adjustments in the past month, striving to come to the net and perform aggressively, backed up by an enhanced serve.
Medvedev fought back from a deficit in the opening set against the challenging opponent, securing four of the last five exchanges to gain the advantage.
Both players traded breaks in the middle set before the Frenchman, attempting for his initial professional title, took control to push for a decider.
He defended 4 initial break points in a close third set before the Russian won the break to 15 to secure the win.
Appropriately, Medvedev secured victory with a shot at the net area, with the Frenchman failing to handle a volley after two hours and 38 minutes.
