Nineteen of Medvedev's 21 titles have been achieved on hard courts
A comeback Medvedev secured his maiden championship for 882 days with a win over opponent Moutet in the Almaty Open final.
The Russian, a former world number one, has endured a difficult year, managing just a single victory at the big events and suffering a difficult moment at the US Open.
The player's inconsistency on the tennis tour - and issues with his serve in specific - led to him dropping out of the top ten and finally splitting with long-time coach his previous coach.
Now collaborating with Thomas Johansson and his other coach, he has consistently improved in the recent weeks - culminating in a closely contested competitive win over challenger Corentin Moutet.
It is the player's initial title after the Italian tournament and initial on a hard court after spring of the previous year.
Victory also signifies the Russian has won twenty-one titles at twenty-one various events.
"For the first time I'm at a event with my children simultaneously, so to win a trophy is really nice," commented world number 14 the champion.
"This title is in honour of my second daughter Victoria, because the maiden victory I won when my child my daughter was delivered was for her."
The tennis star, the past champion, had lost his previous six title deciders, comprising in Halle previously this season.
The player's counter-punching strategy and regular reactions on the tennis court had caused observers to question if his skill to perform at the top level was over.
But the player has altered his approach in the last few weeks, attempting to come to the net and compete assertively, supported by an better service.
He came back from a break down in the initial set against the challenging Moutet, winning four of the final five exchanges to gain the advantage.
The competitors exchanged break points in the following set before Moutet, attempting for his first professional championship, took control to create a decider.
He defended 4 early-game chances in a tight third set before the Russian secured a break to that score to secure the win.
Suitably, Medvedev secured the title with a point at the net area, with his opponent failing to handle a return after a lengthy match.