19 of Medvedev's twenty-one titles have been achieved on hard courts
A revitalized the Russian player claimed his initial title for nearly 30 months with a win over Frenchman Moutet in the tournament title decider.
The Russian, a ex- world number one, has had a difficult season, winning just one win at the Grand Slams and suffering a meltdown at the US Open.
The player's varied form on the professional circuit - and struggles with his service game in especial - caused him dropping out of the top ten and eventually splitting with former trainer Cervara.
Now working with Thomas Johansson and Rohan Goetzke, the tennis star has gradually improved in the past month - culminating in a tightly fought three-set victory over opponent Moutet.
This represents his maiden trophy following the 2023 Rome Masters and maiden on a hard court from March of that year.
Success also signifies Medvedev has won twenty-one championships at twenty-one distinct events.
"It's the first time I am participating in a event with my both daughters simultaneously, so to win a championship is particularly special," said ranked player the champion.
"This title is in dedication of my child her name, because the initial championship I won when my first daughter Alisa was delivered was for her."
Medvedev, the 2021 US Open champion, had lost his last six title deciders, comprising in Halle in the past months.
Medvedev's counter-punching strategy and regular outbursts on the playing surface had led some to wonder if his capacity to play at the highest level was over.
However the player has implemented adjustments in recent weeks, attempting to approach the net and play positively, supported by an better serve.
The champion recovered from a break down in the initial set against the difficult Frenchman, winning four of the last five exchanges to take the lead.
The competitors traded breaks in the second set before Moutet, attempting for his initial ATP Tour title, seized the initiative to create a third set.
He rescued four early-game opportunities in a tight third set before the Russian secured a break to that score to serve for the match.
Fittingly, he earned the title with a rally at the front of the court, with Moutet unable to control a volley after a lengthy match.