19 of Medvedev's 21 championships have been achieved on hard surfaces
A resurgent the Russian player won his maiden championship for 882 days with success over opponent Moutet in the competition final.
Medvedev, a ex- number one, has endured a torrid period, managing just one win at the big events and experiencing a meltdown at the American major.
His inconsistency on the professional circuit - and struggles with his service game in specific - caused him exiting of the top ten and ultimately splitting with long-time trainer Gilles Cervara.
Presently working with Johansson and his other coach, he has consistently advanced in the recent weeks - peaking in a hard-fought 7-5 4-6 6-3 triumph over Frenchman Moutet.
This marks his initial trophy following the Italian tournament and initial on a hard court after March of that year.
Victory also means the Russian has achieved twenty-one championships at twenty-one various competitions.
"This marks the first occasion I'm at a event with my two daughters simultaneously, so to secure a title is especially meaningful," said ranked player the champion.
"This victory is in honour of my child Victoria, because the first title I got when my first daughter her name was born was for her."
The athlete, the past champion, had failed in his previous six finals, featuring in the German tournament in the past months.
Medvedev's retrieving play style and regular outbursts on the tennis court had prompted observers to doubt if his ability to perform at the elite level was finished.
But the player has altered his approach in the last few weeks, attempting to approach the net and compete assertively, reinforced by an improved serve.
Medvedev recovered from a deficit in the opening set against the difficult Frenchman, securing 4 of the final five points to take the lead.
The pair exchanged break points in the second set before Moutet, striving for his initial ATP Tour victory, seized the initiative to force a third set.
Moutet saved 4 early chances in a tight third set before Medvedev won the break to that score to secure the win.
Fittingly, he earned the title with a shot at the net area, with Moutet unable to control a return after over two and a half hours.