Nineteen of the Russian's twenty-one championships have been achieved on hard courts
A resurgent the Russian player won his initial championship for nearly 30 months with a win over opponent Moutet in the tournament championship match.
Medvedev, a ex- world number one, has endured a difficult year, managing just one win at the major tournaments and suffering a meltdown at the New York tournament.
Medvedev's varied form on the tennis tour - and struggles with his serving in specific - led to him dropping out of the top ten and finally splitting with long-term coach Gilles Cervara.
Presently working with Johansson and Rohan Goetzke, Medvedev has gradually improved in the past month - culminating in a hard-fought 7-5 4-6 6-3 victory over Frenchman Corentin Moutet.
It is the player's initial championship following the Italian tournament and initial on a hard surface after that period of the previous year.
The win also means Medvedev has achieved 21 titles at 21 distinct competitions.
"For the first time I am participating in a competition with my both daughters simultaneously, so to get a championship is particularly special," said tennis professional the champion.
"This victory is in tribute of my second daughter my daughter, because the first title I won when my first daughter her name was delivered was for her."
The athlete, the 2021 US Open champion, had been defeated in his past six finals, featuring in the German tournament earlier this year.
Medvedev's counter-punching strategy and recurring outbursts on the playing surface had caused some to wonder if his ability to play at the top level was finished.
But the athlete has altered his approach in recent weeks, striving to come to the net and perform positively, reinforced by an better serving game.
Medvedev recovered from a break down in the opening set against the challenging Frenchman, securing four of the last five exchanges to take the lead.
The competitors exchanged breaks in the middle set before the challenger, bidding for his first tour victory, seized the initiative to create a third set.
He saved 4 initial chances in a competitive third set before the champion broke to 15 to secure the win.
Suitably, Medvedev clinched the win with a point at the net area, with his opponent failing to manage a return after two hours and 38 minutes.