Nineteen of the Russian's 21 titles have been won on hard surfaces
A resurgent Medvedev claimed his maiden championship for over two years with a win over opponent Moutet in the tournament title decider.
The athlete, a ex- world number one, has experienced a difficult season, achieving just a single victory at the major tournaments and suffering a meltdown at the American major.
Medvedev's inconsistency on the ATP Tour - and issues with his service game in particular - led to him falling of the world's top 10 and eventually splitting with long-time coach his previous coach.
Currently working with his coach and his other coach, the tennis star has consistently advanced in the recent weeks - climaxing in a closely contested competitive victory over Frenchman Corentin Moutet.
It is the player's maiden title after the Rome competition and first on a hard surface after March of that year.
Victory also signifies the Russian has secured 21 titles at 21 distinct tournaments.
"This marks the first occasion I am participating in a event with my children together, so to get a title is particularly special," said ranked player the champion.
"This title is in tribute of my second daughter my daughter, because the maiden victory I achieved when my child her name was delivered was for her."
The athlete, the past champion, had failed in his previous six championship matches, comprising in Halle in the past months.
Medvedev's defensive strategy and recurring emotional displays on court had prompted commentators to question if his skill to compete at the top level was over.
But the 29-year-old has made changes in the past month, striving to come to the net and play positively, reinforced by an better serve.
The champion recovered from a disadvantage in the opening set against the tricky Moutet, winning four of the last five points to gain the advantage.
Both players swapped break points in the second set before Moutet, attempting for his maiden tour victory, seized the initiative to create a final set.
The opponent defended four initial opportunities in a tight third set before the champion broke to 15 to close out the victory.
Fittingly, the winner clinched the title with a rally at the front of the court, with his opponent unable to handle a volley after two hours and 38 minutes.