19 of the Russian's 21 victories have been won on hard surfaces
A comeback Medvedev secured his initial championship for over two years with a win over opponent Moutet in the tournament final.
The athlete, a former world number one, has experienced a torrid year, winning just one match at the big events and undergoing a difficult moment at the American major.
His varied form on the ATP Tour - and struggles with his service game in specific - resulted in him falling of the world's top 10 and ultimately separating with long-time trainer his previous coach.
Presently training with Thomas Johansson and his other coach, Medvedev has steadily advanced in the last few weeks - culminating in a tightly fought 7-5 4-6 6-3 win over challenger Moutet.
This represents the player's maiden trophy following the Italian tournament and initial on a hard court from that period of that year.
Success also signifies the Russian has secured 21 titles at 21 distinct events.
"This marks the first occasion I have attended a competition with my both daughters simultaneously, so to secure a title is particularly special," stated tennis professional Medvedev.
"This title is in honour of my child my daughter, because the initial championship I won when my child my daughter was born was for her."
The tennis star, the past champion, had lost his previous six championship matches, featuring in that event in the past months.
The player's retrieving play style and frequent outbursts on court had prompted observers to wonder if his ability to perform at the highest level was over.
Yet the player has altered his approach in the last few weeks, striving to come to the net and perform positively, backed up by an improved serve.
The champion recovered from a deficit in the initial set against the difficult opponent, taking 4 of the last five exchanges to go ahead.
The pair traded service breaks in the second set before Moutet, striving for his first professional victory, seized the initiative to push for a decider.
He defended 4 early opportunities in a competitive deciding set before the champion secured a break to that score to serve for the match.
Appropriately, Medvedev secured the win with a shot at the front of the court, with his opponent failing to manage a return after two hours and 38 minutes.
