19 of Medvedev's 21 titles have been achieved on hard courts
A resurgent Medvedev claimed his maiden trophy for 882 days with success over opponent Moutet in the tournament final.
The Russian, a ex- world number one, has had a challenging year, achieving just one win at the big events and undergoing a setback at the New York tournament.
The player's varied form on the professional circuit - and struggles with his service game in especial - led to him dropping out of the world's top 10 and eventually splitting with long-term mentor Cervara.
Now training with his coach and Rohan Goetzke, the tennis star has steadily progressed in the past month - culminating in a closely contested 7-5 4-6 6-3 victory over opponent Corentin Moutet.
This marks the player's maiden trophy since the Italian tournament and maiden on a hard surface since spring of the previous year.
The win also means Medvedev has won 21 championships at 21 distinct tournaments.
"It's the first time I am participating in a tournament with my two daughters at once, so to secure a championship is really nice," stated world number 14 Medvedev.
"This victory is in honour of my second daughter Victoria, because the maiden victory I won when my first daughter my daughter was born was for her."
The athlete, the past champion, had lost his previous six championship matches, including in that event earlier this year.
His retrieving strategy and regular reactions on court had caused some to doubt if his capacity to play at the highest level was over.
Yet the player has implemented adjustments in recent weeks, making an effort to come to the net and play positively, backed up by an better service.
He fought back from a deficit in the initial set against the difficult Moutet, securing 4 of the last five points to gain the advantage.
The pair exchanged breaks in the middle set before the Frenchman, attempting for his initial professional victory, took control to create a third set.
Moutet defended 4 early chances in a close third set before the Russian secured a break to 15 to close out the victory.
Appropriately, the winner clinched the win with a point at the front of the court, with the Frenchman incapable to control a shot after over two and a half hours.