Nineteen of the Russian's 21 championships have been won on hard courts
A revitalized Medvedev secured his first title for over two years with a win over opponent Moutet in the competition title decider.
Medvedev, a former number one, has endured a challenging year, managing just a single victory at the Grand Slams and undergoing a setback at the New York tournament.
His unpredictability on the tennis tour - and issues with his serve in especial - resulted in him exiting of the top ten and ultimately splitting with long-term mentor Gilles Cervara.
Currently collaborating with his coach and Goetzke, Medvedev has steadily advanced in the recent weeks - culminating in a tightly fought competitive win over Frenchman Corentin Moutet.
It is his initial title after the Italian tournament and initial on a hardcourt after that period of the previous year.
Success also means Medvedev has achieved 21 titles at twenty-one various tournaments.
"It's the first time I am participating in a competition with my children at once, so to win a championship is really nice," said tennis professional Medvedev.
"This victory is in honour of my child her name, because the maiden victory I got when my child my daughter was delivered was for her."
Medvedev, the past champion, had lost his past six title deciders, comprising in Halle previously this season.
The player's retrieving play style and regular outbursts on the playing surface had prompted commentators to doubt if his capacity to play at the elite level was finished.
Yet the athlete has made changes in the last few weeks, attempting to approach the net and compete aggressively, reinforced by an enhanced serving game.
The champion recovered from a deficit in the opening set against the difficult Moutet, winning four of the concluding five points to go ahead.
The pair traded service breaks in the following set before the Frenchman, striving for his first ATP Tour title, took control to create a final set.
He saved four early-game break points in a tight final set before Medvedev secured a break to 15 to close out the victory.
Appropriately, the winner earned the title with a point at the net, with the Frenchman unable to control a shot after a lengthy match.
