19 of Medvedev's twenty-one victories have been achieved on hard surfaces
A comeback Medvedev won his initial trophy for over two years with victory over Frenchman Moutet in the competition title decider.
The athlete, a former top-ranked player, has had a challenging period, winning just one match at the Grand Slams and suffering a difficult moment at the American major.
His unpredictability on the ATP Tour - and issues with his service game in especial - resulted in him falling of the elite rankings and eventually separating with long-term mentor his previous coach.
Presently collaborating with Thomas Johansson and his other coach, the tennis star has consistently advanced in the past month - culminating in a tightly fought competitive victory over Frenchman Moutet.
This marks Medvedev's maiden trophy since the Italian tournament and first on a hard court from that period of the previous year.
Success also indicates he has achieved twenty-one titles at 21 different tournaments.
"For the first time I'm at a event with my children at once, so to secure a title is particularly special," commented world number 14 the champion.
"This victory is in dedication of my younger daughter her name, because the first title I got when my first daughter her name was delivered was for her."
Medvedev, the past champion, had failed in his past six title deciders, comprising in that event in the past months.
His retrieving approach and regular emotional displays on court had caused commentators to question if his skill to compete at the elite level was finished.
Yet the 29-year-old has implemented adjustments in the last few weeks, attempting to come to the net and play assertively, backed up by an enhanced serve.
Medvedev recovered from a disadvantage in the first set against the difficult Moutet, taking 4 of the final five games to gain the advantage.
Both players traded service breaks in the following set before the challenger, attempting for his initial tour title, seized the initiative to force a third set.
Moutet rescued 4 early-game opportunities in a close final set before the Russian secured a break to 15 to close out the victory.
Appropriately, he clinched victory with a point at the front of the court, with the Frenchman unable to control a return after two hours and 38 minutes.