19 of the Russian's 21 victories have been achieved on hard surfaces
A comeback the Russian player claimed his maiden trophy for 882 days with success over Frenchman Moutet in the Almaty Open championship match.
Medvedev, a ex- world number one, has experienced a challenging year, achieving just one match at the big events and undergoing a difficult moment at the American major.
Medvedev's varied form on the professional circuit - and difficulties with his serving in specific - caused him dropping out of the top ten and ultimately parting ways with long-term mentor Cervara.
Now working with Thomas Johansson and Rohan Goetzke, he has consistently progressed in the last few weeks - peaking in a closely contested competitive triumph over opponent Moutet.
This represents Medvedev's first championship since the Italian tournament and maiden on a hardcourt from spring of that year.
Victory also means the Russian has secured 21 victories at 21 different events.
"For the first time I am participating in a tournament with my two daughters simultaneously, so to secure a title is particularly special," commented world number 14 the champion.
"This championship is in honour of my second daughter my daughter, because the initial championship I won when my first daughter my daughter was born was for her."
Medvedev, the 2021 US Open champion, had lost his past six title deciders, featuring in the German tournament earlier this year.
His retrieving strategy and recurring outbursts on the playing surface had led commentators to doubt if his ability to perform at the elite level was concluded.
But the 29-year-old has made changes in the last few weeks, attempting to advance forward and compete aggressively, supported by an enhanced serve.
He came back from a disadvantage in the initial set against the tricky Frenchman, winning 4 of the concluding five exchanges to go ahead.
Both players exchanged break points in the middle set before the Frenchman, bidding for his maiden ATP Tour victory, gained dominance to push for a third set.
The opponent saved 4 early chances in a close deciding set before the Russian secured a break to that score to serve for the match.
Suitably, Medvedev secured the title with a rally at the net area, with the Frenchman unable to control a volley after over two and a half hours.
