19 of the Russian's twenty-one championships have been achieved on hardcourt
A resurgent Medvedev secured his initial title for over two years with success over opponent Moutet in the Almaty Open final.
The Russian, a former top-ranked player, has experienced a difficult season, managing just a single victory at the major tournaments and suffering a setback at the American major.
His unpredictability on the tennis tour - and difficulties with his service game in particular - led to him falling of the elite rankings and eventually separating with long-time mentor Cervara.
Now working with Thomas Johansson and his other coach, Medvedev has gradually advanced in the last few weeks - climaxing in a tightly fought three-set win over Frenchman Corentin Moutet.
This represents his initial trophy after the 2023 Rome Masters and first on a hard court from March of that year.
The win also signifies Medvedev has won twenty-one victories at 21 different tournaments.
"It's the first time I'm at a tournament with my both daughters together, so to secure a title is especially meaningful," said ranked player Medvedev.
"This championship is in honour of my younger daughter Victoria, because the initial championship I got when my first daughter her name was born was for her."
Medvedev, the 2021 US Open champion, had lost his past six finals, including in Halle earlier this year.
Medvedev's retrieving strategy and regular emotional displays on the playing surface had led some to wonder if his skill to play at the top level was finished.
But the 29-year-old has altered his approach in the last few weeks, attempting to advance forward and perform assertively, reinforced by an enhanced serve.
He recovered from a break down in the first set against the difficult Frenchman, winning four of the concluding five points to gain the advantage.
Both players exchanged service breaks in the middle set before the Frenchman, striving for his first professional title, took control to force a final set.
Moutet rescued 4 initial opportunities in a close deciding set before the Russian won the break to 15 to serve for the match.
Appropriately, Medvedev secured the win with a rally at the front of the court, with Moutet failing to handle a volley after over two and a half hours.
