Nineteen of the Russian's 21 titles have been earned on hardcourt
A revitalized the Russian player secured his initial trophy for nearly 30 months with success over opponent Moutet in the competition title decider.
Medvedev, a former world number one, has endured a difficult period, achieving just one win at the big events and suffering a difficult moment at the American major.
His unpredictability on the tennis tour - and difficulties with his serving in specific - caused him falling of the world's top 10 and ultimately splitting with long-time trainer Cervara.
Now training with his coach and Rohan Goetzke, he has gradually improved in the last few weeks - peaking in a closely contested three-set triumph over opponent Moutet.
It is his maiden title after the Rome competition and initial on a hardcourt since March of the previous year.
Success also means he has secured 21 victories at twenty-one distinct competitions.
"For the first time I have attended a tournament with my two daughters simultaneously, so to win a title is particularly special," said tennis professional Daniil Medvedev.
"This championship is in dedication of my younger daughter Victoria, because the first title I achieved when my first daughter her name was born was for her."
The athlete, the past champion, had been defeated in his past six title deciders, including in the German tournament earlier this year.
The player's counter-punching strategy and regular reactions on court had led commentators to wonder if his ability to perform at the highest level was finished.
Yet the athlete has implemented adjustments in the past month, striving to come to the net and play assertively, backed up by an improved serving game.
He recovered from a disadvantage in the opening set against the difficult opponent, taking 4 of the final five points to gain the advantage.
The competitors exchanged breaks in the following set before the Frenchman, striving for his maiden professional championship, took control to create a decider.
Moutet defended 4 early chances in a close final set before the Russian won the break to that score to close out the victory.
Appropriately, he earned the title with a shot at the front of the court, with Moutet unable to handle a shot after two hours and 38 minutes.