Nineteen of the Russian's twenty-one championships have been earned on hard surfaces
A resurgent Medvedev claimed his initial championship for 882 days with success over opponent Moutet in the tournament final.
The Russian, a former world number one, has experienced a challenging period, winning just a single victory at the Grand Slams and experiencing a meltdown at the US Open.
The player's unpredictability on the professional circuit - and struggles with his serving in particular - led to him dropping out of the top ten and ultimately splitting with former coach Cervara.
Now working with Thomas Johansson and his other coach, he has steadily improved in the last few weeks - climaxing in a hard-fought three-set win over Frenchman Moutet.
It is his maiden trophy following the Rome competition and maiden on a hardcourt from March of the previous year.
The win also signifies the Russian has secured twenty-one titles at 21 different tournaments.
"It's the first time I have attended a event with my children at once, so to win a championship is particularly special," commented ranked player Daniil Medvedev.
"This championship is in tribute of my second daughter my daughter, because the initial championship I got when my first daughter my daughter was delivered was for her."
The tennis star, the past champion, had been defeated in his previous six title deciders, including in that event earlier this year.
The player's defensive play style and recurring emotional displays on the tennis court had led observers to question if his capacity to compete at the elite level was concluded.
But the player has implemented adjustments in the last few weeks, making an effort to come to the net and compete positively, reinforced by an improved serve.
The champion fought back from a disadvantage in the opening set against the tricky Moutet, securing four of the concluding five points to gain the advantage.
The pair exchanged break points in the following set before Moutet, bidding for his maiden professional title, took control to force a decider.
He defended 4 early-game opportunities in a tight deciding set before the Russian broke to 15 to secure the win.
Suitably, the winner secured the title with a point at the net area, with his opponent unable to control a volley after over two and a half hours.