Nineteen of Medvedev's twenty-one victories have been achieved on hard surfaces
A resurgent the Russian player won his maiden championship for 882 days with victory over Frenchman Moutet in the tournament title decider.
Medvedev, a ex- number one, has endured a challenging period, winning just a single victory at the big events and undergoing a difficult moment at the New York tournament.
Medvedev's varied form on the tennis tour - and difficulties with his service game in particular - led to him dropping out of the elite rankings and finally splitting with former trainer Cervara.
Now working with Thomas Johansson and Rohan Goetzke, the tennis star has steadily improved in the last few weeks - peaking in a hard-fought competitive win over opponent Moutet.
This represents Medvedev's first title following the Rome competition and initial on a hard surface from spring of 2023.
Success also indicates the Russian has secured twenty-one victories at 21 different events.
"It's the first time I'm at a competition with my two daughters together, so to win a championship is particularly special," commented ranked player Medvedev.
"This title is in honour of my younger daughter her name, because the maiden victory I achieved when my child Alisa was delivered was for her."
The tennis star, the past champion, had lost his last six championship matches, comprising in the German tournament previously this season.
Medvedev's counter-punching approach and frequent outbursts on the playing surface had prompted observers to doubt if his skill to perform at the elite level was concluded.
Yet the athlete has altered his approach in the last few weeks, making an effort to advance forward and play assertively, reinforced by an better serve.
The champion recovered from a break down in the opening set against the challenging Frenchman, securing four of the concluding five games to take the lead.
The pair traded break points in the second set before the challenger, bidding for his initial professional championship, seized the initiative to force a final set.
He defended 4 early-game opportunities in a close third set before the champion secured a break to 15 to secure the win.
Suitably, the winner earned the title with a rally at the net area, with the Frenchman incapable to manage a shot after two hours and 38 minutes.