Nineteen of Medvedev's 21 titles have been achieved on hardcourt
A revitalized Medvedev claimed his initial trophy for over two years with a win over opponent Moutet in the competition final.
The Russian, a ex- number one, has had a torrid season, managing just one match at the Grand Slams and experiencing a setback at the New York tournament.
The player's unpredictability on the ATP Tour - and difficulties with his service game in specific - led to him dropping out of the top ten and finally splitting with former mentor his previous coach.
Now collaborating with Thomas Johansson and Rohan Goetzke, the tennis star has consistently improved in the past month - climaxing in a tightly fought competitive victory over Frenchman Moutet.
This marks his first championship after the Rome competition and initial on a hardcourt from spring of that year.
The win also indicates Medvedev has won twenty-one titles at twenty-one distinct tournaments.
"It's the first time I'm at a event with my children at once, so to get a championship is really nice," stated world number 14 Daniil Medvedev.
"This championship is in dedication of my child her name, because the first title I won when my child her name was born was for her."
The athlete, the past champion, had lost his last six championship matches, including in that event in the past months.
The player's retrieving approach and regular reactions on the playing surface had led commentators to wonder if his skill to perform at the highest level was finished.
However the 29-year-old has implemented adjustments in the past month, striving to come to the net and perform aggressively, reinforced by an enhanced serve.
Medvedev recovered from a disadvantage in the opening set against the tricky Frenchman, winning four of the final five points to gain the advantage.
The pair exchanged service breaks in the second set before the Frenchman, striving for his initial tour victory, seized the initiative to create a decider.
Moutet defended four early opportunities in a tight final set before the champion broke to that score to secure the win.
Fittingly, Medvedev clinched the title with a point at the net area, with the Frenchman incapable to control a return after two hours and 38 minutes.