Nineteen of Medvedev's 21 victories have been achieved on hard courts
A comeback the Russian player secured his maiden title for nearly 30 months with victory over opponent Moutet in the Almaty Open championship match.
The Russian, a former number one, has had a torrid period, managing just one win at the Grand Slams and undergoing a meltdown at the US Open.
His inconsistency on the ATP Tour - and difficulties with his serving in specific - caused him exiting of the elite rankings and finally parting ways with long-time trainer Cervara.
Currently training with Thomas Johansson and Goetzke, Medvedev has consistently progressed in the past month - culminating in a hard-fought three-set victory over Frenchman Moutet.
It is Medvedev's first title after the Italian tournament and initial on a hard surface from spring of that year.
The win also means he has achieved 21 victories at 21 different tournaments.
"It's the first time I have attended a tournament with my both daughters at once, so to secure a title is especially meaningful," commented tennis professional the champion.
"This title is in tribute of my child my daughter, because the first title I won when my child my daughter was delivered was for her."
The tennis star, the past champion, had been defeated in his past six title deciders, comprising in that event earlier this year.
His defensive play style and frequent outbursts on the tennis court had prompted observers to wonder if his skill to perform at the highest level was finished.
But the 29-year-old has made changes in recent weeks, making an effort to come to the net and perform aggressively, supported by an better serving game.
The champion fought back from a deficit in the first set against the difficult Frenchman, taking 4 of the final five points to take the lead.
The pair traded breaks in the following set before the Frenchman, bidding for his initial ATP Tour title, gained dominance to create a third set.
He rescued 4 early chances in a tight third set before the Russian broke to 15 to close out the victory.
Fittingly, Medvedev clinched the title with a point at the front of the court, with the Frenchman incapable to control a return after over two and a half hours.
