19 of the Russian's 21 victories have been earned on hard courts
A comeback the Russian player secured his maiden championship for nearly 30 months with victory over opponent Moutet in the Almaty Open final.
The athlete, a former number one, has experienced a torrid period, managing just a single victory at the major tournaments and undergoing a difficult moment at the New York tournament.
His unpredictability on the ATP Tour - and difficulties with his service game in particular - caused him exiting of the world's top 10 and eventually splitting with long-term mentor Gilles Cervara.
Presently training with his coach and his other coach, Medvedev has gradually advanced in the past month - climaxing in a closely contested three-set triumph over Frenchman Corentin Moutet.
It is Medvedev's first trophy following the 2023 Rome Masters and initial on a hard surface from March of the previous year.
Success also signifies Medvedev has secured 21 victories at twenty-one distinct events.
"For the first time I'm at a competition with my children at once, so to win a trophy is really nice," commented world number 14 the champion.
"This title is in honour of my child my daughter, because the initial championship I got when my child her name was born was for her."
Medvedev, the past champion, had failed in his previous six championship matches, comprising in the German tournament previously this season.
The player's retrieving approach and frequent outbursts on court had caused observers to question if his capacity to play at the top level was finished.
Yet the player has made changes in the last few weeks, making an effort to come to the net and perform aggressively, backed up by an improved serving game.
He came back from a break down in the first set against the tricky Frenchman, taking four of the final five points to gain the advantage.
The competitors exchanged break points in the following set before Moutet, attempting for his initial tour title, took control to force a decider.
Moutet defended 4 early chances in a competitive deciding set before Medvedev won the break to that score to secure the win.
Fittingly, the winner secured the title with a shot at the front of the court, with his opponent unable to control a shot after over two and a half hours.