Nineteen of Medvedev's 21 championships have been achieved on hardcourt
A comeback the Russian player claimed his maiden championship for 882 days with a win over opponent Moutet in the competition title decider.
Medvedev, a ex- world number one, has had a challenging period, managing just a single victory at the Grand Slams and undergoing a meltdown at the American major.
His varied form on the professional circuit - and difficulties with his serving in especial - resulted in him falling of the top ten and finally separating with long-term trainer his previous coach.
Presently working with Thomas Johansson and Rohan Goetzke, the tennis star has gradually progressed in the past month - culminating in a tightly fought 7-5 4-6 6-3 victory over opponent Moutet.
This represents his initial title since the Rome competition and first on a hard surface from March of 2023.
Victory also indicates the Russian has won twenty-one titles at 21 various events.
"For the first time I'm at a event with my children together, so to win a title is really nice," stated world number 14 Medvedev.
"This title is in dedication of my second daughter her name, because the initial championship I got when my first daughter Alisa was born was for her."
Medvedev, the past champion, had been defeated in his past six championship matches, comprising in Halle in the past months.
The player's retrieving strategy and frequent outbursts on the tennis court had prompted commentators to doubt if his skill to compete at the elite level was finished.
However the 29-year-old has altered his approach in recent weeks, making an effort to approach the net and perform aggressively, reinforced by an better service.
The champion fought back from a disadvantage in the opening set against the challenging opponent, taking four of the concluding five points to take the lead.
Both players swapped break points in the middle set before Moutet, bidding for his initial tour title, seized the initiative to force a final set.
He defended 4 early chances in a tight final set before the champion won the break to that score to serve for the match.
Suitably, he earned victory with a shot at the net area, with his opponent failing to manage a return after over two and a half hours.