Nineteen of Medvedev's 21 victories have been won on hard courts
A resurgent the Russian player claimed his initial trophy for 882 days with success over opponent Moutet in the tournament championship match.
The athlete, a former top-ranked player, has had a difficult period, winning just one match at the Grand Slams and experiencing a setback at the New York tournament.
Medvedev's inconsistency on the tennis tour - and struggles with his service game in specific - caused him falling of the top ten and ultimately parting ways with long-term mentor Cervara.
Currently collaborating with Thomas Johansson and his other coach, Medvedev has steadily progressed in the past month - peaking in a tightly fought competitive victory over challenger Corentin Moutet.
It is the player's first trophy since the Italian tournament and first on a hard surface after spring of 2023.
Victory also indicates he has secured 21 championships at twenty-one various competitions.
"This marks the first occasion I have attended a event with my two daughters together, so to get a title is particularly special," said ranked player the champion.
"This championship is in honour of my second daughter Victoria, because the initial championship I won when my older daughter her name was delivered was for her."
The athlete, the past champion, had lost his past six championship matches, featuring in Halle earlier this year.
The player's defensive play style and regular emotional displays on the playing surface had prompted commentators to wonder if his capacity to perform at the highest level was concluded.
However the player has altered his approach in recent weeks, making an effort to approach the net and compete aggressively, supported by an better service.
The champion came back from a deficit in the opening set against the challenging opponent, securing 4 of the concluding five exchanges to go ahead.
The competitors exchanged break points in the second set before Moutet, bidding for his maiden ATP Tour victory, took control to push for a final set.
Moutet rescued four initial chances in a tight third set before the champion broke to 15 to secure the win.
Fittingly, Medvedev secured the title with a rally at the net area, with the Frenchman incapable to handle a volley after over two and a half hours.