19 of Medvedev's twenty-one championships have been achieved on hard courts
A comeback the Russian player won his first trophy for over two years with a win over opponent Moutet in the Almaty Open title decider.
The Russian, a former world number one, has endured a difficult season, managing just one win at the big events and suffering a meltdown at the American major.
His inconsistency on the tennis tour - and struggles with his serving in specific - resulted in him dropping out of the world's top 10 and ultimately splitting with long-time coach Gilles Cervara.
Presently training with Thomas Johansson and Rohan Goetzke, he has gradually improved in the last few weeks - climaxing in a hard-fought three-set triumph over challenger Corentin Moutet.
This represents Medvedev's initial championship since the Rome competition and initial on a hard surface from that period of the previous year.
Victory also signifies Medvedev has achieved twenty-one titles at twenty-one distinct events.
"It's the first time I'm at a tournament with my children simultaneously, so to get a championship is really nice," commented ranked player Daniil Medvedev.
"This championship is in dedication of my younger daughter my daughter, because the maiden victory I got when my child my daughter was born was for her."
The tennis star, the 2021 US Open champion, had been defeated in his past six title deciders, comprising in Halle previously this season.
The player's retrieving strategy and regular reactions on court had led observers to doubt if his skill to compete at the top level was concluded.
Yet the athlete has made changes in the last few weeks, making an effort to approach the net and perform assertively, supported by an better serve.
Medvedev recovered from a disadvantage in the opening set against the difficult Frenchman, securing four of the concluding five exchanges to go ahead.
The pair exchanged service breaks in the following set before the challenger, striving for his maiden professional championship, seized the initiative to force a decider.
Moutet rescued four early chances in a tight deciding set before Medvedev won the break to that score to secure the win.
Suitably, he earned the title with a rally at the net, with the Frenchman failing to manage a volley after a lengthy match.