19 of the Russian's 21 titles have been won on hard courts
A comeback the Russian player claimed his initial championship for nearly 30 months with success over opponent Moutet in the Almaty Open title decider.
The Russian, a former world number one, has had a difficult period, winning just one match at the big events and suffering a difficult moment at the New York tournament.
The player's unpredictability on the ATP Tour - and struggles with his serve in especial - led to him dropping out of the top ten and eventually separating with long-time coach Cervara.
Presently training with Johansson and Rohan Goetzke, he has steadily advanced in the past month - peaking in a tightly fought three-set win over challenger Corentin Moutet.
It is his initial championship after the Italian tournament and first on a hardcourt since spring of that year.
Success also signifies the Russian has secured 21 championships at twenty-one different events.
"It's the first time I'm at a competition with my children at once, so to get a trophy is really nice," commented tennis professional Medvedev.
"This championship is in dedication of my younger daughter her name, because the first title I achieved when my first daughter my daughter was born was for her."
The tennis star, the past champion, had failed in his past six finals, featuring in Halle earlier this year.
His counter-punching approach and recurring reactions on the playing surface had caused observers to doubt if his skill to perform at the highest level was finished.
However the 29-year-old has implemented adjustments in the past month, attempting to approach the net and compete positively, reinforced by an enhanced service.
The champion came back from a deficit in the initial set against the difficult opponent, securing 4 of the last five exchanges to gain the advantage.
The pair traded breaks in the middle set before the Frenchman, attempting for his first professional championship, took control to push for a final set.
The opponent defended four early-game break points in a close deciding set before the champion won the break to that score to secure the win.
Appropriately, the winner secured victory with a rally at the net area, with his opponent unable to manage a shot after two hours and 38 minutes.
