Nineteen of Medvedev's 21 titles have been achieved on hardcourt
A resurgent the Russian player claimed his first title for nearly 30 months with success over opponent Moutet in the tournament final.
The athlete, a former world number one, has experienced a challenging year, winning just one match at the big events and undergoing a difficult moment at the US Open.
His varied form on the ATP Tour - and struggles with his service game in especial - caused him dropping out of the world's top 10 and ultimately splitting with long-time trainer Gilles Cervara.
Currently training with Thomas Johansson and his other coach, Medvedev has gradually progressed in the last few weeks - culminating in a tightly fought three-set triumph over Frenchman Corentin Moutet.
It is his first trophy after the Italian tournament and maiden on a hardcourt from that period of 2023.
Success also means Medvedev has won 21 titles at 21 various tournaments.
"It's the first time I'm at a competition with my both daughters together, so to win a title is especially meaningful," said tennis professional Medvedev.
"This championship is in tribute of my second daughter my daughter, because the initial championship I won when my first daughter my daughter was born was for her."
The tennis star, the former major winner, had been defeated in his last six championship matches, including in Halle previously this season.
His defensive strategy and recurring emotional displays on the playing surface had led commentators to question if his capacity to play at the elite level was over.
However the player has made changes in the last few weeks, attempting to approach the net and perform positively, supported by an better service.
Medvedev fought back from a deficit in the opening set against the challenging opponent, taking 4 of the final five games to take the lead.
The pair swapped breaks in the middle set before the Frenchman, attempting for his initial professional championship, seized the initiative to push for a third set.
He saved 4 early-game break points in a close third set before the champion secured a break to fifteen to secure the win.
Appropriately, the winner earned victory with a point at the net, with his opponent unable to manage a volley after over two and a half hours.
