Nineteen of Medvedev's twenty-one victories have been achieved on hardcourt
A resurgent the Russian player claimed his initial title for 882 days with success over opponent Moutet in the competition championship match.
The Russian, a former number one, has had a torrid period, managing just one win at the big events and suffering a difficult moment at the American major.
His unpredictability on the ATP Tour - and difficulties with his serve in specific - led to him dropping out of the top ten and ultimately parting ways with former trainer Gilles Cervara.
Now training with Johansson and Goetzke, the tennis star has consistently advanced in the recent weeks - peaking in a closely contested three-set triumph over Frenchman Moutet.
It is the player's initial championship after the Rome competition and maiden on a hardcourt from that period of the previous year.
The win also indicates he has won twenty-one championships at 21 various competitions.
"It's the first time I am participating in a tournament with my both daughters at once, so to win a trophy is really nice," commented ranked player Daniil Medvedev.
"This championship is in tribute of my second daughter her name, because the maiden victory I got when my older daughter Alisa was delivered was for her."
Medvedev, the former major winner, had lost his last six championship matches, featuring in the German tournament in the past months.
The player's counter-punching play style and regular reactions on court had caused some to doubt if his capacity to compete at the elite level was concluded.
However the player has altered his approach in recent weeks, attempting to approach the net and perform aggressively, backed up by an enhanced serve.
Medvedev fought back from a deficit in the opening set against the difficult Frenchman, winning four of the final five games to take the lead.
The competitors traded service breaks in the second set before the challenger, striving for his initial tour championship, seized the initiative to force a decider.
He rescued 4 early-game break points in a competitive deciding set before the Russian won the break to that score to serve for the match.
Suitably, he earned victory with a rally at the net area, with the Frenchman failing to manage a shot after two hours and 38 minutes.