Nineteen of Medvedev's twenty-one titles have been achieved on hardcourt
A revitalized Medvedev claimed his first title for nearly 30 months with victory over opponent Moutet in the Almaty Open title decider.
The Russian, a former top-ranked player, has endured a challenging season, achieving just a single victory at the major tournaments and experiencing a meltdown at the US Open.
Medvedev's unpredictability on the ATP Tour - and difficulties with his service game in particular - resulted in him falling of the top ten and ultimately separating with former trainer his previous coach.
Currently collaborating with Thomas Johansson and his other coach, the tennis star has steadily advanced in the last few weeks - peaking in a tightly fought three-set victory over opponent Corentin Moutet.
It is his initial title following the Rome competition and maiden on a hard surface after March of the previous year.
Victory also indicates Medvedev has won 21 titles at twenty-one distinct competitions.
"For the first time I am participating in a competition with my both daughters at once, so to secure a title is particularly special," said world number 14 Daniil Medvedev.
"This championship is in dedication of my second daughter her name, because the maiden victory I got when my older daughter Alisa was delivered was for her."
The tennis star, the former major winner, had lost his past six championship matches, featuring in Halle previously this season.
Medvedev's retrieving approach and frequent outbursts on the tennis court had caused some to wonder if his skill to perform at the top level was concluded.
However the player has altered his approach in recent weeks, making an effort to come to the net and compete positively, supported by an better service.
He fought back from a disadvantage in the first set against the tricky Frenchman, winning 4 of the final five games to go ahead.
The competitors traded break points in the following set before the challenger, bidding for his initial tour championship, gained dominance to force a final set.
The opponent saved four initial break points in a tight third set before the champion secured a break to 15 to serve for the match.
Fittingly, the winner clinched victory with a shot at the net area, with the Frenchman incapable to manage a volley after over two and a half hours.