19 of Medvedev's 21 titles have been earned on hard surfaces
A comeback the Russian player won his initial title for 882 days with a win over Frenchman Moutet in the tournament title decider.
The athlete, a former top-ranked player, has experienced a torrid season, achieving just one match at the Grand Slams and experiencing a difficult moment at the US Open.
The player's unpredictability on the ATP Tour - and difficulties with his serving in particular - caused him exiting of the top ten and ultimately splitting with long-term mentor his previous coach.
Now training with his coach and Goetzke, he has gradually advanced in the recent weeks - culminating in a closely contested three-set victory over Frenchman Corentin Moutet.
It is his initial championship following the Rome competition and initial on a hard court since March of that year.
Success also indicates Medvedev has won 21 victories at twenty-one distinct competitions.
"This marks the first occasion I am participating in a tournament with my both daughters together, so to get a title is particularly special," commented ranked player Medvedev.
"This victory is in tribute of my second daughter my daughter, because the initial championship I achieved when my child her name was born was for her."
The athlete, the past champion, had lost his previous six championship matches, featuring in the German tournament in the past months.
His defensive strategy and recurring outbursts on court had led some to question if his capacity to perform at the highest level was concluded.
However the athlete has implemented adjustments in recent weeks, making an effort to approach the net and perform assertively, backed up by an improved serve.
He came back from a disadvantage in the initial set against the difficult Frenchman, securing four of the final five games to take the lead.
The competitors exchanged service breaks in the following set before the Frenchman, striving for his first professional victory, took control to create a third set.
The opponent defended four initial break points in a competitive deciding set before the champion broke to fifteen to close out the victory.
Appropriately, Medvedev secured victory with a point at the net, with Moutet incapable to manage a return after over two and a half hours.