Nineteen of Daniil Medvedev's 21 titles have been earned on hardcourt
A comeback Medvedev secured his initial trophy for 882 days with victory over opponent Moutet in the competition final.
The Russian, a ex- number one, has endured a torrid year, achieving just one match at the major tournaments and suffering a meltdown at the New York tournament.
Medvedev's varied form on the professional circuit - and issues with his serve in specific - caused him falling of the elite rankings and eventually separating with long-time mentor Gilles Cervara.
Currently training with Thomas Johansson and his other coach, he has steadily advanced in the last few weeks - climaxing in a tightly fought competitive victory over opponent Moutet.
This represents Medvedev's maiden trophy following the Italian tournament and maiden on a hard court after March of the previous year.
Victory also signifies he has won 21 victories at 21 different tournaments.
"It's the first time I am participating in a event with my children at once, so to secure a trophy is especially meaningful," said world number 14 Daniil Medvedev.
"This victory is in tribute of my younger daughter her name, because the maiden victory I won when my child Alisa was delivered was for her."
Medvedev, the former major winner, had been defeated in his last six title deciders, including in that event previously this season.
His defensive play style and frequent emotional displays on the tennis court had caused some to question if his skill to play at the highest level was finished.
However the player has made changes in the past month, making an effort to approach the net and perform positively, backed up by an better serving game.
The champion fought back from a deficit in the first set against the difficult Frenchman, taking 4 of the final five games to gain the advantage.
The pair swapped breaks in the middle set before the Frenchman, attempting for his initial professional victory, gained dominance to create a decider.
He defended four early break points in a close third set before Medvedev won the break to fifteen to secure the win.
Appropriately, Medvedev clinched the win with a point at the net area, with his opponent failing to manage a return after two hours and 38 minutes.