Nineteen of the Russian's 21 victories have been won on hard surfaces
A comeback the Russian player won his first title for nearly 30 months with victory over opponent Moutet in the Almaty Open championship match.
Medvedev, a ex- world number one, has had a difficult season, achieving just a single victory at the big events and experiencing a difficult moment at the American major.
Medvedev's unpredictability on the ATP Tour - and issues with his serving in specific - led to him exiting of the top ten and eventually parting ways with long-term coach his previous coach.
Now training with his coach and Rohan Goetzke, the tennis star has steadily progressed in the last few weeks - climaxing in a closely contested 7-5 4-6 6-3 victory over challenger Corentin Moutet.
This marks Medvedev's first championship following the 2023 Rome Masters and initial on a hard court since March of 2023.
Success also means Medvedev has secured twenty-one championships at 21 distinct events.
"For the first time I have attended a tournament with my children at once, so to get a title is really nice," stated tennis professional Medvedev.
"This championship is in tribute of my child Victoria, because the maiden victory I achieved when my older daughter Alisa was delivered was for her."
The tennis star, the former major winner, had failed in his previous six championship matches, comprising in the German tournament in the past months.
His retrieving approach and regular outbursts on court had prompted some to doubt if his ability to compete at the top level was over.
But the player has altered his approach in the last few weeks, striving to advance forward and perform positively, supported by an better serving game.
Medvedev recovered from a break down in the opening set against the tricky Moutet, securing four of the final five games to gain the advantage.
Both players traded breaks in the second set before Moutet, striving for his maiden tour victory, seized the initiative to force a third set.
Moutet rescued 4 early chances in a competitive deciding set before the Russian won the break to fifteen to serve for the match.
Suitably, he secured the title with a rally at the net, with the Frenchman failing to manage a shot after two hours and 38 minutes.