Nineteen of the Russian's 21 victories have been achieved on hard courts
A comeback Medvedev claimed his first title for over two years with victory over opponent Moutet in the tournament championship match.
Medvedev, a former number one, has had a challenging year, achieving just one win at the major tournaments and experiencing a meltdown at the American major.
His unpredictability on the professional circuit - and issues with his service game in especial - resulted in him falling of the elite rankings and finally separating with long-term mentor his previous coach.
Now collaborating with Thomas Johansson and Rohan Goetzke, the tennis star has steadily advanced in the recent weeks - culminating in a tightly fought 7-5 4-6 6-3 triumph over Frenchman Corentin Moutet.
This marks his maiden trophy after the Rome competition and first on a hard surface since that period of that year.
Victory also signifies Medvedev has secured 21 victories at 21 distinct events.
"This marks the first occasion I'm at a tournament with my both daughters together, so to win a championship is especially meaningful," commented tennis professional Medvedev.
"This championship is in honour of my child her name, because the initial championship I won when my older daughter Alisa was delivered was for her."
Medvedev, the former major winner, had failed in his past six championship matches, including in that event in the past months.
The player's defensive strategy and regular reactions on the tennis court had led observers to doubt if his skill to perform at the top level was over.
Yet the athlete has made changes in the last few weeks, making an effort to advance forward and perform aggressively, reinforced by an improved serve.
He came back from a deficit in the initial set against the difficult opponent, winning 4 of the final five games to gain the advantage.
The competitors swapped break points in the following set before Moutet, striving for his first ATP Tour victory, seized the initiative to push for a third set.
The opponent saved four early break points in a tight final set before the champion secured a break to 15 to close out the victory.
Fittingly, he earned the win with a rally at the net area, with the Frenchman incapable to control a shot after two hours and 38 minutes.
