19 of Medvedev's twenty-one titles have been achieved on hardcourt
A comeback the Russian player claimed his initial title for over two years with victory over Frenchman Moutet in the Almaty Open title decider.
The athlete, a former number one, has had a challenging season, achieving just one match at the Grand Slams and undergoing a setback at the American major.
His unpredictability on the tennis tour - and difficulties with his serve in particular - led to him exiting of the top ten and eventually separating with former coach Gilles Cervara.
Presently collaborating with his coach and his other coach, Medvedev has consistently improved in the recent weeks - climaxing in a closely contested 7-5 4-6 6-3 win over Frenchman Moutet.
It is Medvedev's maiden title after the Italian tournament and first on a hardcourt from spring of that year.
The win also signifies he has secured twenty-one championships at 21 distinct competitions.
"It's the first time I have attended a tournament with my children together, so to secure a championship is really nice," said world number 14 Medvedev.
"This victory is in tribute of my child her name, because the maiden victory I won when my older daughter Alisa was delivered was for her."
Medvedev, the 2021 US Open champion, had failed in his last six championship matches, comprising in the German tournament in the past months.
His retrieving strategy and recurring reactions on the tennis court had caused commentators to wonder if his capacity to compete at the elite level was finished.
But the 29-year-old has made changes in the past month, making an effort to come to the net and compete assertively, backed up by an enhanced serve.
He came back from a break down in the first set against the challenging Frenchman, securing 4 of the final five games to take the lead.
The pair swapped service breaks in the middle set before the Frenchman, striving for his first ATP Tour championship, gained dominance to create a third set.
Moutet defended 4 early-game chances in a close deciding set before the Russian won the break to that score to serve for the match.
Suitably, he secured the title with a rally at the net area, with the Frenchman incapable to handle a shot after a lengthy match.