Nineteen of Daniil Medvedev's 21 titles have been earned on hard courts
A resurgent the Russian player secured his initial championship for nearly 30 months with success over opponent Moutet in the competition final.
Medvedev, a ex- number one, has experienced a difficult period, winning just one win at the big events and undergoing a setback at the US Open.
Medvedev's varied form on the tennis tour - and struggles with his serve in especial - resulted in him dropping out of the elite rankings and finally separating with long-term coach his previous coach.
Now working with Thomas Johansson and Goetzke, Medvedev has gradually advanced in the recent weeks - peaking in a hard-fought 7-5 4-6 6-3 win over challenger Moutet.
It is the player's first title following the Rome competition and first on a hardcourt since March of the previous year.
Victory also means he has secured 21 victories at twenty-one distinct tournaments.
"This marks the first occasion I'm at a tournament with my both daughters at once, so to win a trophy is really nice," said world number 14 Daniil Medvedev.
"This title is in tribute of my second daughter her name, because the initial championship I won when my older daughter her name was born was for her."
The tennis star, the former major winner, had lost his past six championship matches, comprising in the German tournament in the past months.
The player's counter-punching approach and frequent emotional displays on the playing surface had led commentators to doubt if his skill to perform at the elite level was concluded.
However the 29-year-old has made changes in recent weeks, striving to advance forward and compete positively, backed up by an enhanced service.
The champion came back from a break down in the initial set against the difficult opponent, securing 4 of the final five exchanges to gain the advantage.
The competitors swapped service breaks in the following set before the challenger, attempting for his initial tour title, gained dominance to force a final set.
He rescued 4 initial break points in a close third set before the champion won the break to that score to close out the victory.
Appropriately, he secured victory with a point at the net area, with the Frenchman unable to handle a volley after over two and a half hours.