Nineteen of the Russian's 21 titles have been earned on hard courts
A revitalized Medvedev secured his first championship for over two years with victory over Frenchman Moutet in the tournament title decider.
Medvedev, a ex- world number one, has experienced a challenging period, achieving just one win at the big events and suffering a meltdown at the US Open.
The player's unpredictability on the professional circuit - and issues with his service game in especial - led to him falling of the world's top 10 and eventually parting ways with long-time mentor Gilles Cervara.
Now training with Johansson and his other coach, the tennis star has gradually advanced in the recent weeks - culminating in a hard-fought 7-5 4-6 6-3 triumph over opponent Moutet.
It is Medvedev's initial championship following the Rome competition and maiden on a hardcourt since that period of 2023.
Victory also signifies he has won 21 titles at 21 different competitions.
"It's the first time I am participating in a tournament with my two daughters at once, so to secure a title is really nice," stated ranked player Daniil Medvedev.
"This victory is in dedication of my child her name, because the initial championship I achieved when my child Alisa was born was for her."
Medvedev, the former major winner, had been defeated in his previous six finals, featuring in Halle in the past months.
Medvedev's counter-punching strategy and frequent reactions on court had led commentators to question if his ability to compete at the elite level was concluded.
But the 29-year-old has made changes in the past month, attempting to advance forward and perform aggressively, reinforced by an improved serving game.
Medvedev came back from a disadvantage in the opening set against the tricky opponent, taking four of the concluding five points to gain the advantage.
The pair exchanged break points in the second set before the Frenchman, attempting for his first professional championship, took control to force a decider.
Moutet defended four early-game break points in a competitive third set before Medvedev won the break to fifteen to serve for the match.
Suitably, the winner clinched the title with a rally at the front of the court, with his opponent incapable to manage a shot after over two and a half hours.