19 of Medvedev's 21 victories have been won on hard surfaces
A comeback Medvedev won his maiden trophy for 882 days with a win over Frenchman Moutet in the Almaty Open title decider.
The athlete, a ex- world number one, has experienced a difficult year, managing just one match at the Grand Slams and undergoing a difficult moment at the US Open.
The player's inconsistency on the tennis tour - and struggles with his serving in specific - resulted in him falling of the top ten and ultimately splitting with long-time mentor Cervara.
Now working with Johansson and Goetzke, Medvedev has gradually improved in the recent weeks - culminating in a tightly fought three-set victory over Frenchman Corentin Moutet.
This represents his initial championship since the Italian tournament and maiden on a hard court since March of the previous year.
Success also signifies the Russian has won twenty-one victories at 21 different tournaments.
"This marks the first occasion I am participating in a competition with my both daughters simultaneously, so to win a title is especially meaningful," commented tennis professional Medvedev.
"This victory is in dedication of my second daughter Victoria, because the initial championship I achieved when my child her name was delivered was for her."
The athlete, the former major winner, had failed in his last six championship matches, comprising in that event previously this season.
The player's retrieving approach and frequent outbursts on the tennis court had led commentators to question if his ability to compete at the top level was concluded.
But the player has altered his approach in recent weeks, attempting to approach the net and perform positively, supported by an improved service.
Medvedev recovered from a deficit in the first set against the difficult opponent, winning 4 of the concluding five exchanges to go ahead.
Both players swapped service breaks in the middle set before the Frenchman, striving for his initial ATP Tour victory, gained dominance to force a decider.
He saved 4 early-game opportunities in a close final set before Medvedev won the break to that score to serve for the match.
Suitably, Medvedev clinched the win with a point at the front of the court, with Moutet failing to manage a shot after a lengthy match.