Nineteen of the Russian's 21 titles have been won on hard surfaces
A revitalized the Russian player won his initial title for over two years with victory over Frenchman Moutet in the tournament championship match.
The Russian, a former number one, has endured a difficult year, winning just one win at the big events and undergoing a meltdown at the New York tournament.
Medvedev's varied form on the ATP Tour - and struggles with his service game in especial - led to him dropping out of the top ten and ultimately splitting with long-time mentor Gilles Cervara.
Now collaborating with Thomas Johansson and Rohan Goetzke, he has steadily improved in the recent weeks - peaking in a closely contested 7-5 4-6 6-3 victory over challenger Moutet.
This marks the player's initial trophy since the Rome competition and maiden on a hard surface since that period of that year.
Success also signifies Medvedev has achieved twenty-one titles at twenty-one various tournaments.
"This marks the first occasion I am participating in a competition with my two daughters together, so to win a title is really nice," commented ranked player the champion.
"This victory is in dedication of my child her name, because the maiden victory I achieved when my child Alisa was delivered was for her."
Medvedev, the former major winner, had been defeated in his past six title deciders, including in that event in the past months.
Medvedev's counter-punching approach and frequent reactions on the tennis court had led commentators to doubt if his ability to compete at the elite level was concluded.
However the 29-year-old has made changes in the last few weeks, attempting to approach the net and perform assertively, backed up by an improved service.
Medvedev recovered from a deficit in the initial set against the tricky opponent, taking four of the concluding five exchanges to go ahead.
The competitors swapped break points in the middle set before the Frenchman, striving for his first professional victory, took control to create a decider.
Moutet defended four early-game opportunities in a competitive final set before the Russian secured a break to that score to close out the victory.
Fittingly, Medvedev earned the win with a shot at the front of the court, with Moutet failing to handle a return after two hours and 38 minutes.
