Nineteen of Medvedev's twenty-one titles have been achieved on hardcourt
A revitalized the Russian player claimed his initial title for 882 days with success over Frenchman Moutet in the tournament championship match.
The Russian, a former number one, has had a torrid period, winning just one win at the Grand Slams and undergoing a meltdown at the American major.
Medvedev's inconsistency on the tennis tour - and difficulties with his serving in especial - resulted in him falling of the elite rankings and eventually splitting with long-time trainer Gilles Cervara.
Currently training with Thomas Johansson and his other coach, Medvedev has steadily improved in the past month - climaxing in a hard-fought 7-5 4-6 6-3 win over challenger Corentin Moutet.
This represents his maiden trophy after the Italian tournament and first on a hard court after spring of that year.
Success also signifies he has secured 21 titles at twenty-one various events.
"It's the first time I am participating in a tournament with my both daughters simultaneously, so to get a trophy is really nice," commented tennis professional Medvedev.
"This title is in dedication of my child her name, because the initial championship I won when my first daughter her name was born was for her."
Medvedev, the former major winner, had failed in his past six championship matches, featuring in that event earlier this year.
The player's defensive play style and recurring outbursts on court had caused some to wonder if his capacity to perform at the top level was over.
However the 29-year-old has altered his approach in the last few weeks, striving to come to the net and perform aggressively, supported by an better serve.
Medvedev came back from a disadvantage in the opening set against the tricky Moutet, taking four of the last five points to gain the advantage.
The pair exchanged break points in the middle set before Moutet, bidding for his maiden professional championship, took control to create a decider.
The opponent rescued four early-game chances in a close third set before Medvedev won the break to that score to close out the victory.
Suitably, Medvedev earned victory with a rally at the front of the court, with his opponent failing to manage a return after two hours and 38 minutes.