19 of Medvedev's 21 titles have been achieved on hardcourt
A resurgent the Russian player won his maiden championship for 882 days with victory over Frenchman Moutet in the tournament championship match.
The athlete, a former number one, has endured a difficult year, managing just one match at the major tournaments and experiencing a difficult moment at the New York tournament.
His inconsistency on the ATP Tour - and issues with his serve in specific - resulted in him falling of the top ten and finally splitting with long-time coach Gilles Cervara.
Currently training with Johansson and Rohan Goetzke, Medvedev has steadily advanced in the past month - peaking in a closely contested 7-5 4-6 6-3 victory over opponent Moutet.
It is the player's first trophy after the Rome competition and maiden on a hard court since spring of the previous year.
The win also indicates the Russian has won twenty-one titles at twenty-one distinct events.
"This marks the first occasion I'm at a event with my two daughters together, so to secure a championship is really nice," said tennis professional Medvedev.
"This championship is in honour of my second daughter my daughter, because the first title I achieved when my child her name was born was for her."
The tennis star, the former major winner, had lost his previous six title deciders, including in Halle in the past months.
Medvedev's retrieving strategy and regular reactions on the playing surface had caused observers to wonder if his ability to perform at the highest level was concluded.
However the athlete has made changes in the past month, making an effort to come to the net and perform positively, backed up by an improved service.
The champion fought back from a break down in the initial set against the difficult opponent, taking 4 of the concluding five exchanges to take the lead.
Both players swapped service breaks in the second set before the challenger, attempting for his maiden tour title, gained dominance to force a final set.
Moutet defended four early chances in a competitive deciding set before the champion secured a break to 15 to serve for the match.
Fittingly, the winner earned the win with a point at the front of the court, with his opponent incapable to manage a return after a lengthy match.