Nineteen of the Russian's 21 championships have been achieved on hard courts
A resurgent the Russian player won his maiden title for over two years with a win over opponent Moutet in the Almaty Open championship match.
Medvedev, a ex- world number one, has had a difficult season, winning just a single victory at the Grand Slams and experiencing a setback at the US Open.
The player's unpredictability on the tennis tour - and issues with his serve in especial - resulted in him exiting of the world's top 10 and eventually parting ways with long-term trainer Cervara.
Now training with Thomas Johansson and his other coach, the tennis star has gradually advanced in the recent weeks - peaking in a tightly fought competitive victory over Frenchman Moutet.
This represents the player's maiden title after the Italian tournament and initial on a hard surface from spring of 2023.
Victory also indicates Medvedev has achieved 21 championships at 21 different competitions.
"For the first time I'm at a competition with my two daughters simultaneously, so to win a championship is really nice," commented world number 14 the champion.
"This victory is in tribute of my second daughter her name, because the first title I got when my older daughter her name was delivered was for her."
Medvedev, the 2021 US Open champion, had failed in his previous six finals, featuring in Halle earlier this year.
The player's defensive approach and recurring reactions on the tennis court had led observers to wonder if his skill to compete at the top level was over.
However the player has implemented adjustments in recent weeks, striving to come to the net and play aggressively, backed up by an better serving game.
He recovered from a disadvantage in the initial set against the challenging Moutet, taking 4 of the last five games to gain the advantage.
Both players traded breaks in the second set before the challenger, striving for his initial tour victory, took control to force a final set.
He rescued four early-game break points in a close final set before the champion secured a break to 15 to close out the victory.
Fittingly, he secured the title with a point at the front of the court, with Moutet failing to handle a shot after over two and a half hours.
