Nineteen of the Russian's 21 victories have been won on hard surfaces
A revitalized the Russian player won his maiden title for over two years with success over opponent Moutet in the Almaty Open final.
The athlete, a ex- number one, has endured a torrid season, achieving just one win at the Grand Slams and suffering a difficult moment at the American major.
His inconsistency on the professional circuit - and issues with his serving in especial - resulted in him dropping out of the top ten and finally parting ways with former mentor Cervara.
Now collaborating with Thomas Johansson and Goetzke, the tennis star has gradually advanced in the past month - climaxing in a closely contested three-set triumph over Frenchman Moutet.
This represents Medvedev's first title after the Rome competition and maiden on a hard court after that period of that year.
Victory also signifies Medvedev has won 21 championships at twenty-one distinct competitions.
"This marks the first occasion I'm at a competition with my both daughters at once, so to win a title is particularly special," commented world number 14 the champion.
"This victory is in honour of my younger daughter her name, because the maiden victory I got when my child Alisa was born was for her."
The athlete, the former major winner, had been defeated in his previous six finals, comprising in Halle in the past months.
The player's counter-punching strategy and recurring emotional displays on the playing surface had prompted observers to doubt if his capacity to play at the top level was finished.
Yet the athlete has made changes in the last few weeks, making an effort to advance forward and perform positively, supported by an enhanced serving game.
The champion came back from a break down in the opening set against the difficult Frenchman, winning four of the final five points to gain the advantage.
Both players traded breaks in the following set before the Frenchman, bidding for his maiden ATP Tour title, took control to force a final set.
The opponent saved 4 early opportunities in a close third set before Medvedev secured a break to that score to serve for the match.
Appropriately, he clinched the title with a shot at the net area, with his opponent incapable to handle a volley after over two and a half hours.