19 of Medvedev's twenty-one titles have been won on hard courts
A resurgent the Russian player claimed his first trophy for 882 days with success over Frenchman Moutet in the tournament championship match.
Medvedev, a ex- world number one, has experienced a challenging season, winning just one win at the big events and experiencing a meltdown at the US Open.
The player's unpredictability on the tennis tour - and struggles with his serve in specific - caused him exiting of the elite rankings and finally separating with long-time coach his previous coach.
Now training with Thomas Johansson and his other coach, the tennis star has consistently advanced in the past month - culminating in a hard-fought 7-5 4-6 6-3 win over opponent Corentin Moutet.
It is Medvedev's initial title following the Italian tournament and first on a hardcourt since spring of that year.
Victory also signifies he has achieved twenty-one championships at 21 various competitions.
"This marks the first occasion I have attended a competition with my both daughters together, so to secure a trophy is especially meaningful," said world number 14 the champion.
"This championship is in dedication of my child my daughter, because the maiden victory I got when my first daughter Alisa was delivered was for her."
Medvedev, the past champion, had been defeated in his past six finals, featuring in that event earlier this year.
Medvedev's defensive strategy and regular emotional displays on court had caused commentators to wonder if his ability to perform at the top level was over.
Yet the athlete has altered his approach in recent weeks, attempting to come to the net and compete positively, backed up by an enhanced serve.
The champion recovered from a deficit in the opening set against the challenging Frenchman, taking four of the final five games to take the lead.
The competitors exchanged breaks in the following set before the Frenchman, attempting for his maiden tour title, seized the initiative to create a third set.
He rescued four initial chances in a tight deciding set before the champion won the break to 15 to secure the win.
Appropriately, he earned the win with a rally at the front of the court, with the Frenchman incapable to control a shot after a lengthy match.
