19 of Medvedev's twenty-one victories have been earned on hardcourt
A revitalized the Russian player won his first title for nearly 30 months with a win over opponent Moutet in the tournament title decider.
The Russian, a ex- number one, has had a challenging year, achieving just one win at the Grand Slams and undergoing a meltdown at the American major.
His varied form on the professional circuit - and difficulties with his service game in specific - led to him dropping out of the elite rankings and ultimately splitting with former mentor his previous coach.
Now collaborating with his coach and his other coach, he has consistently progressed in the past month - culminating in a closely contested competitive victory over opponent Moutet.
It is his initial trophy after the Italian tournament and initial on a hardcourt after that period of the previous year.
Victory also signifies Medvedev has secured twenty-one championships at twenty-one different events.
"This marks the first occasion I'm at a competition with my children together, so to get a trophy is particularly special," said world number 14 the champion.
"This victory is in tribute of my younger daughter my daughter, because the initial championship I achieved when my older daughter her name was born was for her."
Medvedev, the past champion, had been defeated in his last six finals, comprising in the German tournament previously this season.
His retrieving play style and regular emotional displays on court had prompted observers to wonder if his capacity to compete at the highest level was over.
However the athlete has made changes in the last few weeks, making an effort to advance forward and compete assertively, reinforced by an improved serving game.
The champion came back from a deficit in the opening set against the difficult opponent, securing 4 of the last five exchanges to gain the advantage.
The competitors swapped breaks in the following set before the Frenchman, striving for his initial ATP Tour victory, seized the initiative to force a final set.
The opponent saved 4 early opportunities in a tight third set before the champion secured a break to fifteen to serve for the match.
Fittingly, he secured the title with a shot at the net area, with his opponent failing to handle a return after over two and a half hours.