19 of the Russian's 21 victories have been won on hard courts
A revitalized Medvedev won his first trophy for 882 days with victory over Frenchman Moutet in the Almaty Open title decider.
Medvedev, a former top-ranked player, has endured a challenging year, winning just a single victory at the major tournaments and undergoing a setback at the New York tournament.
Medvedev's unpredictability on the tennis tour - and struggles with his serving in particular - caused him exiting of the world's top 10 and finally separating with former trainer his previous coach.
Now working with Thomas Johansson and his other coach, Medvedev has gradually improved in the recent weeks - climaxing in a tightly fought 7-5 4-6 6-3 win over Frenchman Corentin Moutet.
This marks Medvedev's first trophy after the Italian tournament and first on a hard surface from March of 2023.
The win also signifies the Russian has secured twenty-one titles at 21 different events.
"It's the first time I'm at a competition with my two daughters at once, so to get a championship is particularly special," said ranked player Medvedev.
"This title is in tribute of my child her name, because the first title I got when my older daughter her name was born was for her."
The tennis star, the past champion, had lost his last six championship matches, featuring in Halle earlier this year.
Medvedev's defensive approach and frequent outbursts on the tennis court had led commentators to wonder if his skill to perform at the top level was concluded.
However the player has altered his approach in recent weeks, striving to advance forward and compete positively, reinforced by an enhanced service.
He came back from a deficit in the first set against the tricky opponent, securing four of the final five exchanges to take the lead.
Both players exchanged service breaks in the second set before the challenger, bidding for his maiden professional championship, took control to push for a third set.
Moutet rescued 4 early-game chances in a tight third set before the champion won the break to that score to secure the win.
Appropriately, the winner secured the title with a point at the net, with his opponent failing to handle a shot after over two and a half hours.