Nineteen of the Russian's twenty-one titles have been won on hard surfaces
A resurgent the Russian player secured his first championship for nearly 30 months with success over opponent Moutet in the tournament final.
The Russian, a former world number one, has had a torrid year, managing just a single victory at the major tournaments and undergoing a meltdown at the American major.
Medvedev's varied form on the tennis tour - and issues with his service game in particular - caused him exiting of the top ten and ultimately parting ways with long-term coach Cervara.
Presently collaborating with his coach and Rohan Goetzke, the tennis star has gradually progressed in the last few weeks - culminating in a tightly fought competitive triumph over challenger Moutet.
It is the player's first trophy since the Italian tournament and first on a hard court after that period of that year.
Victory also signifies he has won twenty-one championships at 21 different competitions.
"This marks the first occasion I'm at a competition with my two daughters simultaneously, so to get a championship is especially meaningful," commented ranked player Daniil Medvedev.
"This victory is in dedication of my younger daughter Victoria, because the initial championship I got when my first daughter her name was born was for her."
Medvedev, the former major winner, had been defeated in his past six championship matches, featuring in Halle earlier this year.
His defensive strategy and frequent emotional displays on court had prompted some to question if his capacity to perform at the top level was over.
But the 29-year-old has made changes in recent weeks, attempting to come to the net and compete positively, backed up by an improved service.
Medvedev recovered from a deficit in the opening set against the tricky Frenchman, securing 4 of the last five exchanges to go ahead.
The competitors exchanged break points in the following set before Moutet, striving for his initial tour victory, seized the initiative to force a decider.
The opponent rescued four early-game chances in a competitive final set before the champion secured a break to that score to serve for the match.
Appropriately, Medvedev clinched the title with a shot at the net, with his opponent incapable to handle a return after two hours and 38 minutes.