Nineteen of Medvedev's twenty-one victories have been won on hard surfaces
A comeback Medvedev won his maiden trophy for nearly 30 months with success over opponent Moutet in the Almaty Open final.
Medvedev, a former top-ranked player, has experienced a torrid period, managing just one win at the major tournaments and undergoing a meltdown at the New York tournament.
The player's varied form on the tennis tour - and issues with his serve in specific - led to him falling of the top ten and eventually separating with former mentor Cervara.
Now collaborating with Thomas Johansson and Rohan Goetzke, Medvedev has consistently progressed in the recent weeks - climaxing in a hard-fought competitive victory over challenger Moutet.
This marks the player's initial championship since the 2023 Rome Masters and maiden on a hard surface since that period of 2023.
Victory also indicates he has achieved twenty-one victories at 21 various tournaments.
"For the first time I'm at a competition with my children together, so to win a trophy is really nice," commented world number 14 Daniil Medvedev.
"This title is in tribute of my younger daughter her name, because the maiden victory I got when my child her name was born was for her."
Medvedev, the 2021 US Open champion, had been defeated in his past six championship matches, comprising in that event earlier this year.
Medvedev's defensive play style and regular outbursts on the playing surface had led observers to doubt if his ability to perform at the elite level was concluded.
However the player has altered his approach in recent weeks, attempting to approach the net and perform aggressively, backed up by an enhanced serving game.
Medvedev came back from a break down in the initial set against the challenging Moutet, securing four of the final five exchanges to gain the advantage.
Both players traded breaks in the following set before the challenger, bidding for his maiden tour title, seized the initiative to create a decider.
Moutet saved four initial chances in a tight third set before the Russian won the break to fifteen to close out the victory.
Appropriately, Medvedev earned the win with a rally at the net, with his opponent failing to control a volley after two hours and 38 minutes.