Nineteen of the Russian's twenty-one championships have been won on hard courts
A resurgent the Russian player claimed his maiden trophy for 882 days with victory over Frenchman Moutet in the competition championship match.
Medvedev, a former world number one, has endured a challenging period, winning just a single victory at the big events and suffering a meltdown at the American major.
The player's varied form on the professional circuit - and difficulties with his serve in especial - resulted in him dropping out of the elite rankings and ultimately parting ways with long-time trainer his previous coach.
Now collaborating with his coach and Rohan Goetzke, he has gradually advanced in the last few weeks - climaxing in a tightly fought three-set victory over challenger Corentin Moutet.
It is his initial championship after the Rome competition and maiden on a hardcourt from spring of 2023.
Victory also means he has won twenty-one victories at 21 various tournaments.
"It's the first time I have attended a event with my two daughters simultaneously, so to win a championship is particularly special," said ranked player Daniil Medvedev.
"This championship is in tribute of my second daughter my daughter, because the maiden victory I achieved when my older daughter her name was born was for her."
Medvedev, the former major winner, had been defeated in his previous six finals, featuring in that event earlier this year.
The player's defensive play style and frequent emotional displays on the tennis court had led commentators to doubt if his skill to play at the top level was finished.
However the player has made changes in recent weeks, striving to come to the net and perform positively, backed up by an enhanced serving game.
He fought back from a break down in the opening set against the tricky Frenchman, winning four of the last five exchanges to gain the advantage.
Both players exchanged breaks in the following set before the Frenchman, attempting for his maiden professional title, gained dominance to create a third set.
He rescued four initial opportunities in a tight deciding set before the Russian won the break to fifteen to close out the victory.
Appropriately, the winner earned victory with a point at the front of the court, with the Frenchman incapable to control a volley after two hours and 38 minutes.