Nineteen of the Russian's 21 titles have been earned on hardcourt
A resurgent Medvedev won his maiden championship for nearly 30 months with a win over opponent Moutet in the Almaty Open championship match.
Medvedev, a former number one, has experienced a challenging season, achieving just one match at the Grand Slams and experiencing a meltdown at the US Open.
His inconsistency on the ATP Tour - and struggles with his service game in particular - resulted in him dropping out of the elite rankings and finally separating with long-term coach Gilles Cervara.
Now working with Thomas Johansson and Rohan Goetzke, Medvedev has consistently improved in the recent weeks - peaking in a hard-fought 7-5 4-6 6-3 win over Frenchman Moutet.
This represents his initial title since the 2023 Rome Masters and first on a hard court after March of that year.
The win also indicates he has won 21 championships at 21 different events.
"For the first time I am participating in a competition with my children simultaneously, so to get a trophy is especially meaningful," commented ranked player Medvedev.
"This championship is in tribute of my second daughter her name, because the maiden victory I got when my child her name was born was for her."
The tennis star, the 2021 US Open champion, had failed in his past six title deciders, comprising in Halle previously this season.
The player's counter-punching approach and frequent outbursts on the playing surface had caused commentators to wonder if his capacity to play at the elite level was over.
But the player has implemented adjustments in the last few weeks, attempting to come to the net and perform assertively, reinforced by an enhanced serve.
He came back from a break down in the initial set against the difficult Frenchman, winning 4 of the final five exchanges to go ahead.
The pair swapped breaks in the second set before the Frenchman, striving for his maiden ATP Tour championship, took control to force a decider.
He defended four early opportunities in a competitive deciding set before the Russian broke to fifteen to serve for the match.
Suitably, the winner secured victory with a rally at the front of the court, with the Frenchman unable to handle a return after a lengthy match.
