19 of Medvedev's 21 titles have been earned on hardcourt
A comeback the Russian player secured his initial title for 882 days with success over Frenchman Moutet in the tournament championship match.
Medvedev, a former world number one, has had a torrid year, managing just a single victory at the Grand Slams and experiencing a setback at the American major.
Medvedev's inconsistency on the tennis tour - and issues with his serve in especial - resulted in him exiting of the elite rankings and ultimately separating with long-time coach Gilles Cervara.
Now training with Johansson and Rohan Goetzke, the tennis star has gradually progressed in the past month - culminating in a tightly fought three-set win over opponent Corentin Moutet.
This represents Medvedev's initial championship following the Rome competition and initial on a hardcourt from spring of the previous year.
Victory also indicates he has achieved 21 titles at twenty-one distinct tournaments.
"For the first time I have attended a tournament with my children together, so to secure a title is really nice," said world number 14 the champion.
"This championship is in dedication of my child her name, because the maiden victory I won when my older daughter Alisa was delivered was for her."
The athlete, the past champion, had failed in his past six championship matches, comprising in the German tournament previously this season.
His retrieving approach and regular outbursts on the playing surface had led some to question if his skill to play at the highest level was finished.
However the 29-year-old has altered his approach in the last few weeks, attempting to advance forward and play positively, backed up by an improved serve.
He came back from a break down in the initial set against the difficult Moutet, securing 4 of the last five games to go ahead.
The pair exchanged breaks in the following set before the challenger, striving for his maiden ATP Tour victory, gained dominance to push for a third set.
Moutet defended 4 initial chances in a tight deciding set before Medvedev secured a break to that score to secure the win.
Appropriately, he clinched victory with a point at the front of the court, with his opponent incapable to handle a return after a lengthy match.
