Nineteen of Medvedev's 21 championships have been won on hard surfaces
A resurgent Medvedev won his first title for nearly 30 months with a win over Frenchman Moutet in the Almaty Open title decider.
The Russian, a former world number one, has endured a torrid period, winning just a single victory at the big events and undergoing a meltdown at the American major.
Medvedev's varied form on the professional circuit - and struggles with his serve in specific - caused him falling of the world's top 10 and ultimately parting ways with long-time trainer Cervara.
Presently working with his coach and Rohan Goetzke, Medvedev has consistently progressed in the past month - culminating in a tightly fought competitive triumph over challenger Moutet.
It is Medvedev's first title since the Italian tournament and initial on a hard court from March of the previous year.
Success also indicates Medvedev has secured twenty-one titles at twenty-one different competitions.
"This marks the first occasion I'm at a competition with my children simultaneously, so to win a title is especially meaningful," said world number 14 the champion.
"This title is in honour of my younger daughter my daughter, because the initial championship I got when my older daughter Alisa was born was for her."
The athlete, the former major winner, had been defeated in his last six championship matches, including in the German tournament in the past months.
Medvedev's defensive approach and recurring reactions on the tennis court had prompted observers to question if his ability to play at the elite level was finished.
But the 29-year-old has altered his approach in recent weeks, attempting to advance forward and compete positively, supported by an enhanced serving game.
He came back from a deficit in the first set against the tricky Moutet, winning four of the last five exchanges to take the lead.
Both players swapped service breaks in the second set before the Frenchman, striving for his initial professional victory, gained dominance to push for a third set.
Moutet rescued 4 early opportunities in a tight final set before the Russian broke to 15 to secure the win.
Suitably, Medvedev earned the win with a point at the net area, with his opponent failing to manage a shot after a lengthy match.
