19 of Medvedev's twenty-one championships have been won on hard surfaces
A revitalized the Russian player secured his maiden trophy for over two years with success over Frenchman Moutet in the Almaty Open title decider.
The athlete, a former number one, has endured a torrid period, managing just one match at the major tournaments and experiencing a difficult moment at the US Open.
His unpredictability on the ATP Tour - and struggles with his serve in specific - caused him exiting of the elite rankings and finally splitting with long-time mentor Cervara.
Presently training with Thomas Johansson and his other coach, Medvedev has gradually improved in the recent weeks - climaxing in a closely contested 7-5 4-6 6-3 victory over opponent Moutet.
This represents his initial trophy following the Italian tournament and first on a hardcourt from spring of that year.
The win also signifies the Russian has achieved 21 victories at 21 different competitions.
"This marks the first occasion I am participating in a tournament with my children together, so to secure a trophy is especially meaningful," said ranked player Daniil Medvedev.
"This championship is in dedication of my younger daughter my daughter, because the maiden victory I achieved when my older daughter her name was born was for her."
The tennis star, the past champion, had failed in his previous six title deciders, featuring in Halle earlier this year.
Medvedev's counter-punching approach and recurring outbursts on court had prompted some to wonder if his ability to play at the elite level was concluded.
However the 29-year-old has implemented adjustments in recent weeks, attempting to advance forward and play assertively, supported by an improved service.
The champion fought back from a disadvantage in the opening set against the tricky Moutet, taking 4 of the last five games to gain the advantage.
Both players traded breaks in the second set before the challenger, striving for his initial tour victory, took control to create a final set.
The opponent saved 4 initial opportunities in a competitive third set before the Russian secured a break to 15 to serve for the match.
Fittingly, Medvedev clinched the title with a point at the net, with his opponent failing to manage a shot after two hours and 38 minutes.