Nineteen of Medvedev's 21 championships have been won on hardcourt
A revitalized Medvedev won his first title for over two years with victory over Frenchman Moutet in the tournament title decider.
The athlete, a ex- world number one, has endured a torrid season, winning just one match at the Grand Slams and suffering a meltdown at the US Open.
Medvedev's inconsistency on the professional circuit - and struggles with his service game in specific - led to him exiting of the world's top 10 and finally splitting with former trainer Cervara.
Currently working with his coach and his other coach, the tennis star has gradually progressed in the recent weeks - peaking in a tightly fought three-set triumph over challenger Corentin Moutet.
This represents his initial title after the Rome competition and maiden on a hard surface since that period of the previous year.
The win also indicates Medvedev has secured 21 championships at 21 different events.
"This marks the first occasion I am participating in a event with my both daughters simultaneously, so to secure a championship is particularly special," stated world number 14 the champion.
"This championship is in honour of my child her name, because the first title I won when my first daughter my daughter was delivered was for her."
The tennis star, the past champion, had failed in his last six championship matches, featuring in Halle earlier this year.
His defensive play style and frequent reactions on the tennis court had prompted commentators to doubt if his skill to play at the elite level was finished.
However the player has implemented adjustments in the past month, attempting to approach the net and compete aggressively, reinforced by an improved service.
Medvedev fought back from a deficit in the opening set against the tricky Moutet, winning four of the final five games to go ahead.
The pair traded break points in the second set before the Frenchman, attempting for his maiden ATP Tour championship, gained dominance to force a decider.
Moutet defended 4 initial break points in a tight final set before the Russian won the break to 15 to serve for the match.
Appropriately, he earned victory with a shot at the front of the court, with his opponent unable to handle a shot after two hours and 38 minutes.