Nineteen of Medvedev's 21 championships have been achieved on hard courts
A resurgent the Russian player secured his maiden trophy for nearly 30 months with victory over Frenchman Moutet in the competition title decider.
The athlete, a former top-ranked player, has had a torrid season, managing just one win at the major tournaments and undergoing a setback at the US Open.
The player's varied form on the tennis tour - and difficulties with his service game in particular - led to him dropping out of the top ten and finally splitting with former trainer Cervara.
Presently working with his coach and Goetzke, he has consistently advanced in the past month - culminating in a closely contested three-set win over challenger Moutet.
This marks Medvedev's initial title following the Rome competition and first on a hard court since that period of that year.
Success also means Medvedev has achieved twenty-one titles at twenty-one distinct events.
"This marks the first occasion I am participating in a competition with my children simultaneously, so to get a trophy is really nice," commented ranked player the champion.
"This victory is in honour of my second daughter my daughter, because the maiden victory I won when my child her name was delivered was for her."
The athlete, the past champion, had been defeated in his past six title deciders, comprising in the German tournament previously this season.
Medvedev's defensive approach and frequent emotional displays on the playing surface had prompted some to doubt if his capacity to perform at the top level was finished.
Yet the player has made changes in the last few weeks, making an effort to advance forward and perform positively, supported by an better service.
He fought back from a disadvantage in the initial set against the tricky opponent, taking four of the last five games to gain the advantage.
Both players exchanged breaks in the middle set before Moutet, bidding for his initial ATP Tour victory, seized the initiative to force a third set.
He rescued four early-game chances in a close third set before the champion broke to that score to serve for the match.
Suitably, Medvedev secured the win with a shot at the net area, with Moutet incapable to manage a shot after a lengthy match.
