Nineteen of the Russian's 21 titles have been earned on hardcourt
A comeback Medvedev claimed his maiden title for 882 days with success over Frenchman Moutet in the competition championship match.
The Russian, a ex- top-ranked player, has endured a torrid season, achieving just a single victory at the big events and experiencing a meltdown at the American major.
His unpredictability on the tennis tour - and difficulties with his serving in particular - caused him exiting of the elite rankings and finally parting ways with former trainer Gilles Cervara.
Now working with Johansson and Goetzke, Medvedev has gradually improved in the past month - peaking in a tightly fought 7-5 4-6 6-3 victory over challenger Moutet.
This marks Medvedev's initial trophy following the Italian tournament and first on a hard surface after spring of that year.
The win also signifies he has achieved 21 victories at 21 various tournaments.
"For the first time I am participating in a event with my both daughters together, so to secure a title is particularly special," stated tennis professional Daniil Medvedev.
"This championship is in honour of my younger daughter Victoria, because the initial championship I won when my older daughter her name was born was for her."
The tennis star, the 2021 US Open champion, had failed in his previous six finals, comprising in Halle earlier this year.
The player's defensive approach and frequent emotional displays on court had prompted commentators to wonder if his capacity to play at the elite level was over.
However the athlete has altered his approach in the last few weeks, attempting to approach the net and play positively, supported by an better serve.
The champion fought back from a break down in the initial set against the challenging Frenchman, securing 4 of the last five exchanges to gain the advantage.
The pair exchanged service breaks in the second set before Moutet, striving for his initial ATP Tour championship, gained dominance to force a final set.
He rescued four early-game break points in a tight final set before the champion broke to that score to secure the win.
Appropriately, the winner secured the title with a point at the front of the court, with the Frenchman failing to manage a volley after two hours and 38 minutes.