19 of Medvedev's twenty-one championships have been achieved on hard surfaces
A resurgent the Russian player won his initial trophy for nearly 30 months with a win over opponent Moutet in the tournament title decider.
The Russian, a former top-ranked player, has experienced a torrid season, managing just a single victory at the Grand Slams and undergoing a setback at the US Open.
The player's varied form on the ATP Tour - and issues with his serve in especial - resulted in him exiting of the top ten and ultimately parting ways with long-term coach Cervara.
Currently collaborating with Thomas Johansson and Rohan Goetzke, Medvedev has consistently improved in the past month - climaxing in a hard-fought competitive win over opponent Moutet.
It is Medvedev's maiden championship following the Rome competition and maiden on a hard court from that period of that year.
Success also means the Russian has won 21 titles at twenty-one various competitions.
"For the first time I have attended a event with my children at once, so to secure a trophy is especially meaningful," commented ranked player Medvedev.
"This victory is in dedication of my child my daughter, because the maiden victory I achieved when my first daughter her name was born was for her."
Medvedev, the former major winner, had lost his past six finals, including in Halle previously this season.
Medvedev's retrieving strategy and regular emotional displays on the tennis court had prompted commentators to question if his skill to compete at the top level was over.
But the athlete has made changes in recent weeks, attempting to come to the net and perform aggressively, supported by an better serve.
He fought back from a break down in the first set against the challenging Moutet, taking four of the concluding five exchanges to go ahead.
The competitors traded service breaks in the following set before the challenger, attempting for his maiden professional championship, gained dominance to push for a third set.
He rescued four early break points in a tight final set before the Russian secured a break to that score to close out the victory.
Appropriately, Medvedev secured the win with a rally at the front of the court, with the Frenchman failing to control a return after two hours and 38 minutes.