19 of Medvedev's twenty-one championships have been won on hardcourt
A revitalized the Russian player claimed his initial trophy for 882 days with success over opponent Moutet in the Almaty Open championship match.
Medvedev, a former world number one, has endured a challenging period, achieving just a single victory at the major tournaments and experiencing a meltdown at the US Open.
The player's varied form on the ATP Tour - and struggles with his service game in particular - caused him falling of the world's top 10 and eventually separating with long-term trainer his previous coach.
Now training with his coach and Rohan Goetzke, Medvedev has gradually progressed in the recent weeks - culminating in a closely contested competitive triumph over Frenchman Corentin Moutet.
It is the player's first trophy since the Rome competition and first on a hardcourt from March of that year.
The win also signifies Medvedev has achieved 21 titles at 21 different events.
"For the first time I have attended a event with my children simultaneously, so to get a trophy is really nice," said ranked player Daniil Medvedev.
"This victory is in honour of my younger daughter her name, because the initial championship I won when my first daughter my daughter was born was for her."
The tennis star, the past champion, had been defeated in his previous six finals, including in that event previously this season.
His counter-punching play style and regular outbursts on court had led commentators to doubt if his ability to perform at the highest level was over.
But the player has implemented adjustments in recent weeks, attempting to come to the net and play positively, backed up by an better serving game.
Medvedev recovered from a disadvantage in the initial set against the difficult Moutet, securing four of the last five exchanges to take the lead.
The pair swapped break points in the second set before the challenger, striving for his initial tour victory, gained dominance to force a final set.
Moutet defended 4 initial chances in a competitive deciding set before the Russian won the break to 15 to close out the victory.
Suitably, Medvedev clinched the title with a shot at the front of the court, with his opponent unable to handle a return after over two and a half hours.