Nineteen of Medvedev's twenty-one titles have been achieved on hard surfaces
A comeback the Russian player won his first championship for nearly 30 months with success over opponent Moutet in the tournament championship match.
Medvedev, a former world number one, has endured a difficult period, winning just one win at the Grand Slams and suffering a meltdown at the New York tournament.
Medvedev's varied form on the professional circuit - and issues with his service game in specific - caused him exiting of the world's top 10 and ultimately splitting with former coach his previous coach.
Currently training with Thomas Johansson and his other coach, Medvedev has gradually improved in the last few weeks - peaking in a hard-fought competitive victory over Frenchman Moutet.
It is Medvedev's initial trophy after the Rome competition and first on a hard court from that period of 2023.
The win also means Medvedev has secured twenty-one victories at twenty-one different tournaments.
"It's the first time I have attended a competition with my children together, so to get a trophy is especially meaningful," said tennis professional the champion.
"This championship is in dedication of my younger daughter Victoria, 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 previous six title deciders, including in Halle in the past months.
Medvedev's defensive approach and recurring outbursts on the playing surface had caused some to wonder if his ability to perform at the top level was concluded.
But the athlete has implemented adjustments in the last few weeks, making an effort to come to the net and compete assertively, supported by an better serving game.
He came back from a deficit in the opening set against the difficult Moutet, securing 4 of the concluding five games to gain the advantage.
The competitors swapped breaks in the middle set before Moutet, striving for his maiden professional victory, took control to force a third set.
The opponent rescued four early-game chances in a competitive third set before the champion broke to fifteen to close out the victory.
Fittingly, the winner earned the win with a point at the net area, with the Frenchman unable to control a shot after over two and a half hours.
