Nineteen of Medvedev's twenty-one championships have been earned on hard courts
A resurgent the Russian player won his maiden championship for nearly 30 months with a win over Frenchman Moutet in the competition championship match.
Medvedev, a ex- number one, has had a torrid season, winning just one win at the big events and undergoing a setback at the US Open.
The player's varied form on the tennis tour - and struggles with his serving in specific - resulted in him exiting of the top ten and finally splitting with former trainer Cervara.
Now working with his coach and his other coach, he has consistently improved in the last few weeks - culminating in a hard-fought competitive triumph over Frenchman Moutet.
This represents the player's initial championship after the Rome competition and maiden on a hard court from March of that year.
Success also signifies Medvedev has won twenty-one victories at twenty-one various events.
"For the first time I am participating in a event with my children at once, so to get a title is especially meaningful," said ranked player Daniil Medvedev.
"This championship is in tribute of my child my daughter, because the maiden victory I achieved when my older daughter Alisa was delivered was for her."
The athlete, the past champion, had failed in his last six finals, comprising in the German tournament in the past months.
Medvedev's counter-punching strategy and frequent outbursts on the tennis court had caused commentators to question if his capacity to play at the top level was over.
But the 29-year-old has altered his approach in recent weeks, attempting to approach the net and compete positively, backed up by an improved service.
The champion came back from a disadvantage in the opening set against the difficult opponent, taking 4 of the last five exchanges to gain the advantage.
Both players swapped break points in the middle set before Moutet, striving for his first tour victory, gained dominance to create a third set.
He rescued four initial opportunities in a competitive deciding set before the champion won the break to fifteen to serve for the match.
Fittingly, he earned victory with a point at the net, with his opponent failing to control a volley after two hours and 38 minutes.