Nineteen of Medvedev's twenty-one victories have been earned on hard courts
A resurgent the Russian player won his initial championship for over two years with success over Frenchman Moutet in the competition title decider.
The athlete, a former top-ranked player, has endured a challenging period, managing just one win at the Grand Slams and experiencing a meltdown at the New York tournament.
The player's unpredictability on the professional circuit - and struggles with his serving in particular - caused him exiting of the elite rankings and ultimately separating with long-term trainer Gilles Cervara.
Now working with his coach and Rohan Goetzke, he has consistently improved in the recent weeks - peaking in a hard-fought 7-5 4-6 6-3 win over challenger Moutet.
This marks Medvedev's first championship after the Italian tournament and initial on a hard surface from that period of the previous year.
Success also means he has secured 21 championships at twenty-one various competitions.
"It's the first time I have attended a event with my two daughters at once, so to secure a championship is really nice," said world number 14 Medvedev.
"This championship is in honour of my second daughter my daughter, because the first title I achieved when my older daughter my daughter was born was for her."
The athlete, the former major winner, had failed in his last six title deciders, featuring in that event previously this season.
Medvedev's retrieving approach and recurring reactions on court had led commentators to wonder if his skill to compete at the elite level was over.
Yet the athlete has made changes in the last few weeks, making an effort to come to the net and perform positively, supported by an better service.
The champion fought back from a deficit in the initial set against the challenging Frenchman, taking 4 of the final five exchanges to gain the advantage.
The competitors swapped break points in the second set before the Frenchman, bidding for his maiden professional championship, gained dominance to create a third set.
Moutet defended four initial chances in a competitive deciding set before Medvedev broke to that score to serve for the match.
Fittingly, he secured victory with a shot at the front of the court, with his opponent incapable to handle a volley after over two and a half hours.
