Nineteen of Medvedev's twenty-one victories have been achieved on hard surfaces
A revitalized Medvedev secured his initial championship for 882 days with success over opponent Moutet in the competition final.
Medvedev, a ex- top-ranked player, has experienced a difficult period, achieving just one match at the Grand Slams and undergoing a setback at the American major.
His varied form on the ATP Tour - and struggles with his serve in specific - caused him dropping out of the top ten and finally separating with long-time trainer Gilles Cervara.
Presently training with his coach and Rohan Goetzke, the tennis star has consistently improved in the recent weeks - peaking in a closely contested 7-5 4-6 6-3 triumph over Frenchman Moutet.
This marks Medvedev's initial trophy following the Rome competition and maiden on a hard surface from that period of that year.
Victory also indicates the Russian has won 21 titles at twenty-one various competitions.
"It's the first time I'm at a tournament with my children together, so to win a championship is particularly special," said world number 14 Daniil Medvedev.
"This victory is in tribute of my younger daughter Victoria, because the first title I achieved when my older daughter her name was delivered was for her."
The tennis star, the former major winner, had lost his past six title deciders, featuring in the German tournament earlier this year.
The player's retrieving play style and frequent outbursts on the playing surface had caused observers to question if his capacity to play at the elite level was finished.
But the player has implemented adjustments in recent weeks, making an effort to approach the net and perform positively, reinforced by an better serve.
The champion recovered from a break down in the opening set against the difficult Frenchman, winning 4 of the concluding five points to take the lead.
The competitors traded service breaks in the second set before Moutet, attempting for his first professional championship, seized the initiative to push for a third set.
He saved four early break points in a competitive third set before the champion won the break to that score to close out the victory.
Appropriately, Medvedev secured the win with a shot at the net area, with his opponent unable to handle a return after two hours and 38 minutes.
