Nineteen of the Russian's twenty-one victories have been won on hard surfaces
A resurgent the Russian player claimed his maiden title for over two years with a win over Frenchman Moutet in the competition title decider.
Medvedev, a ex- top-ranked player, has endured a difficult year, winning just one win at the major tournaments and suffering a difficult moment at the US Open.
Medvedev's inconsistency on the ATP Tour - and struggles with his serving in especial - led to him falling of the world's top 10 and ultimately parting ways with long-time mentor Gilles Cervara.
Presently working with Johansson and Rohan Goetzke, the tennis star has consistently progressed in the past month - culminating in a closely contested three-set triumph over Frenchman Moutet.
This represents Medvedev's first title following the Italian tournament and initial on a hard court from that period of the previous year.
Success also means the Russian has achieved 21 titles at twenty-one various competitions.
"This marks the first occasion I am participating in a competition with my both daughters at once, so to get a trophy is especially meaningful," commented world number 14 the champion.
"This victory is in honour of my second daughter Victoria, because the maiden victory I achieved when my older daughter Alisa was born was for her."
The athlete, the past champion, had failed in his past six title deciders, including in Halle earlier this year.
Medvedev's counter-punching strategy and regular reactions on court had prompted some to doubt if his capacity to perform at the elite level was concluded.
However the 29-year-old has implemented adjustments in recent weeks, making an effort to advance forward and perform assertively, supported by an improved serving game.
The champion fought back from a deficit in the opening set against the tricky Frenchman, winning 4 of the final five exchanges to gain the advantage.
The pair exchanged service breaks in the second set before the challenger, bidding for his initial ATP Tour victory, gained dominance to push for a third set.
Moutet saved 4 early break points in a close third set before the Russian broke to that score to secure the win.
Appropriately, Medvedev clinched the title with a shot at the net, with his opponent unable to manage a shot after a lengthy match.