19 of the Russian's twenty-one titles have been won on hard courts
A revitalized the Russian player claimed his initial trophy for 882 days with success over opponent Moutet in the Almaty Open championship match.
Medvedev, a ex- number one, has endured a difficult year, winning just one match at the Grand Slams and suffering a meltdown at the American major.
Medvedev's varied form on the ATP Tour - and issues with his serving in specific - led to him falling of the top ten and eventually splitting with long-time coach his previous coach.
Now working with his coach and his other coach, he has consistently progressed in the recent weeks - peaking in a closely contested three-set triumph over Frenchman Moutet.
This marks his maiden championship after the 2023 Rome Masters and first on a hard surface after March of the previous year.
Success also means he has achieved twenty-one championships at 21 distinct events.
"It's the first time I have attended a tournament with my children simultaneously, so to win a trophy is especially meaningful," commented world number 14 Daniil Medvedev.
"This title is in honour of my younger daughter my daughter, because the initial championship I achieved when my child my daughter was born was for her."
The tennis star, the 2021 US Open champion, had been defeated in his past six title deciders, featuring in Halle previously this season.
Medvedev's retrieving approach and recurring outbursts on the tennis court had led observers to wonder if his ability to compete at the elite level was over.
However the player has altered his approach in the past month, striving to approach the net and play positively, backed up by an improved service.
Medvedev came back from a disadvantage in the first set against the challenging opponent, taking four of the concluding five points to go ahead.
The competitors swapped service breaks in the following set before Moutet, striving for his initial tour title, gained dominance to force a third set.
Moutet saved 4 initial break points in a close final set before the Russian won the break to that score to secure the win.
Fittingly, he secured the win with a point at the front of the court, with his opponent unable to control a volley after two hours and 38 minutes.