19 of the Russian's twenty-one titles have been earned on hardcourt
A resurgent Medvedev secured his first title for over two years with success over Frenchman Moutet in the competition final.
The athlete, a former number one, has had a torrid year, winning just one win at the major tournaments and experiencing a meltdown at the American major.
The player's unpredictability on the professional circuit - and issues with his service game in especial - resulted in him exiting of the elite rankings and eventually splitting with long-term mentor his previous coach.
Now training with his coach and his other coach, Medvedev has steadily advanced in the past month - peaking in a closely contested competitive victory over opponent Moutet.
This marks the player's initial trophy following the Italian tournament and first on a hard surface since that period of the previous year.
Victory also means Medvedev has secured twenty-one titles at 21 distinct events.
"For the first time I have attended a competition with my children together, so to win a title is really nice," commented world number 14 Medvedev.
"This title is in dedication of my younger daughter Victoria, because the maiden victory I won when my child Alisa was delivered was for her."
The tennis star, the past champion, had lost his previous six title deciders, including in Halle in the past months.
His retrieving approach and frequent reactions on court had prompted some to doubt if his capacity to perform at the top level was over.
Yet the player has implemented adjustments in the past month, making an effort to come to the net and play aggressively, supported by an better service.
Medvedev came back from a disadvantage in the first set against the difficult Moutet, winning four of the last five games to go ahead.
The competitors traded break points in the second set before the Frenchman, bidding for his initial ATP Tour championship, seized the initiative to create a final set.
Moutet defended 4 early chances in a close deciding set before Medvedev broke to that score to close out the victory.
Appropriately, Medvedev secured the title with a rally at the net area, with the Frenchman failing to manage a volley after a lengthy match.