Nineteen of Medvedev's twenty-one victories have been earned on hard surfaces
A revitalized the Russian player claimed his initial trophy for over two years with a win over Frenchman Moutet in the competition title decider.
The athlete, a former top-ranked player, has experienced a torrid season, achieving just a single victory at the major tournaments and undergoing a meltdown at the American major.
The player's unpredictability on the professional circuit - and difficulties with his serving in particular - caused him falling of the top ten and finally parting ways with former trainer his previous coach.
Currently working with his coach and his other coach, he has gradually advanced in the recent weeks - climaxing in a closely contested competitive victory over challenger Moutet.
It is Medvedev's initial title since the Rome competition and first on a hardcourt since that period of the previous year.
Success also signifies he has secured twenty-one victories at twenty-one distinct competitions.
"This marks the first occasion I'm at a competition with my two daughters together, so to secure a title is particularly special," commented world number 14 Medvedev.
"This title is in honour of my younger daughter Victoria, because the maiden victory I got when my older daughter her name was born was for her."
The athlete, the past champion, had been defeated in his last six finals, including in that event in the past months.
The player's retrieving strategy and frequent reactions on court had led some to doubt if his capacity to play at the highest level was over.
However the 29-year-old has made changes in recent weeks, attempting to advance forward and play positively, supported by an better service.
He recovered from a deficit in the opening set against the tricky Moutet, taking four of the concluding five games to gain the advantage.
Both players exchanged break points in the middle set before Moutet, bidding for his initial professional championship, gained dominance to force a third set.
Moutet saved four initial chances in a competitive final set before the champion broke to fifteen to close out the victory.
Fittingly, Medvedev earned victory with a shot at the net area, with his opponent unable to handle a shot after a lengthy match.