19 of the Russian's 21 championships have been earned on hard surfaces
A comeback the Russian player secured his maiden trophy for nearly 30 months with victory over opponent Moutet in the tournament final.
The Russian, a ex- world number one, has had a challenging period, managing just one win at the major tournaments and undergoing a meltdown at the American major.
Medvedev's inconsistency on the ATP Tour - and struggles with his serving in especial - led to him exiting of the elite rankings and finally separating with long-time trainer Cervara.
Presently working with his coach and his other coach, the tennis star has steadily advanced in the past month - peaking in a closely contested 7-5 4-6 6-3 triumph over Frenchman Moutet.
This represents his first championship after the Italian tournament and maiden on a hardcourt from spring of that year.
Success also indicates Medvedev has secured twenty-one titles at twenty-one different tournaments.
"For the first time I have attended a competition with my both daughters at once, so to win a trophy is especially meaningful," said ranked player the champion.
"This championship is in tribute of my younger daughter Victoria, because the maiden victory I got when my child Alisa was born was for her."
Medvedev, the former major winner, had lost his past six championship matches, comprising in Halle previously this season.
Medvedev's retrieving approach and frequent outbursts on court had prompted observers to question if his skill to perform at the top level was finished.
But the player has implemented adjustments in the last few weeks, striving to come to the net and compete assertively, reinforced by an improved serving game.
The champion came back from a disadvantage in the first set against the challenging Frenchman, securing four of the final five exchanges to take the lead.
Both players swapped service breaks in the second set before Moutet, attempting for his first professional title, took control to push for a third set.
He rescued four initial break points in a close deciding set before Medvedev won the break to 15 to close out the victory.
Appropriately, Medvedev clinched the win with a shot at the net area, with his opponent incapable to manage a shot after two hours and 38 minutes.
