Nineteen of the Russian's 21 victories have been achieved on hard surfaces
A comeback Daniil Medvedev won his initial trophy for nearly 30 months with success over Frenchman Moutet in the Almaty Open championship match.
Medvedev, a former number one, has had a difficult season, winning just a single victory at the major tournaments and undergoing a setback at the New York tournament.
Medvedev's unpredictability on the professional circuit - and difficulties with his service game in particular - led to him falling of the elite rankings and finally parting ways with long-time mentor Cervara.
Presently training with Thomas Johansson and his other coach, Medvedev has gradually improved in the past month - culminating in a hard-fought competitive win over Frenchman Moutet.
This marks Medvedev's maiden trophy following the Italian tournament and first on a hard surface after spring of 2023.
Success also signifies the Russian has secured 21 titles at 21 distinct events.
"For the first time I'm at a tournament with my children at once, so to win a championship is especially meaningful," said ranked player Medvedev.
"This victory is in tribute of my second daughter her name, because the first title I got when my child Alisa was born was for her."
The athlete, the 2021 US Open champion, had been defeated in his previous six championship matches, comprising in that event earlier this year.
His counter-punching strategy and frequent outbursts on the playing surface had led commentators to doubt if his capacity to compete at the top level was over.
Yet the player has made changes in the last few weeks, making an effort to approach the net and perform positively, supported by an enhanced serve.
The champion recovered from a break down in the opening set against the tricky opponent, winning 4 of the concluding five exchanges to take the lead.
Both players traded break points in the middle set before Moutet, attempting for his maiden ATP Tour title, gained dominance to push for a decider.
The opponent rescued four early opportunities in a competitive final set before the Russian won the break to that score to close out the victory.
Appropriately, the winner earned victory with a point at the net, with the Frenchman incapable to manage a return after a lengthy match.