Nineteen of the Russian's twenty-one victories have been achieved on hard surfaces
A resurgent Medvedev claimed his maiden title for 882 days with victory over Frenchman Moutet in the competition title decider.
The athlete, a former number one, has endured a challenging season, achieving just one match at the major tournaments and undergoing a difficult moment at the American major.
Medvedev's unpredictability on the professional circuit - and difficulties with his serve in particular - led to him dropping out of the top ten and eventually parting ways with long-time coach his previous coach.
Now working with Thomas Johansson and his other coach, he has gradually advanced in the recent weeks - climaxing in a hard-fought 7-5 4-6 6-3 win over Frenchman Moutet.
This marks the player's first title after the 2023 Rome Masters and first on a hard surface after March of that year.
Victory also indicates he has won twenty-one victories at twenty-one distinct competitions.
"This marks the first occasion I have attended a event with my two daughters simultaneously, so to secure a trophy is especially meaningful," stated tennis professional Daniil Medvedev.
"This championship is in dedication of my child Victoria, because the first title I won when my older daughter Alisa was delivered was for her."
Medvedev, the former major winner, had been defeated in his past six title deciders, including in the German tournament in the past months.
The player's defensive play style and regular emotional displays on court had led commentators to wonder if his capacity to compete at the top level was over.
However the athlete has altered his approach in the last few weeks, attempting to advance forward and play aggressively, reinforced by an better service.
He fought back from a deficit in the opening set against the tricky Moutet, taking 4 of the concluding five points to go ahead.
Both players exchanged break points in the middle set before the Frenchman, bidding for his maiden professional victory, gained dominance to push for a decider.
The opponent rescued four early-game chances in a close deciding set before Medvedev won the break to fifteen to serve for the match.
Fittingly, he secured victory with a rally at the front of the court, with the Frenchman unable to control a shot after two hours and 38 minutes.