Nineteen of the Russian's twenty-one victories have been earned on hard surfaces
A resurgent the Russian player won his first championship for 882 days with success over opponent Moutet in the competition championship match.
The athlete, a former number one, has endured a torrid year, achieving just one win at the Grand Slams and undergoing a difficult moment at the US Open.
Medvedev's varied form on the professional circuit - and difficulties with his serve in especial - resulted in him falling of the top ten and eventually parting ways with long-term coach Gilles Cervara.
Presently collaborating with Johansson and Goetzke, he has steadily progressed in the last few weeks - culminating in a closely contested three-set victory over Frenchman Corentin Moutet.
It is the player's maiden championship following the Rome competition and first on a hard court since that period of the previous year.
The win also indicates Medvedev has achieved 21 championships at 21 various tournaments.
"For the first time I'm at a event with my children at once, so to win a trophy is especially meaningful," commented world number 14 Medvedev.
"This championship is in honour of my younger daughter her name, because the first title I got when my child her name was born was for her."
The athlete, the former major winner, had been defeated in his previous six championship matches, featuring in that event earlier this year.
The player's retrieving strategy and frequent outbursts on the playing surface had led observers to doubt if his skill to compete at the highest level was concluded.
However the 29-year-old has implemented adjustments in recent weeks, attempting to approach the net and perform assertively, reinforced by an enhanced serving game.
The champion fought back from a deficit in the first set against the tricky opponent, securing four of the final five exchanges to take the lead.
The competitors swapped break points in the following set before the challenger, striving for his initial professional victory, gained dominance to force a final set.
Moutet saved 4 early-game opportunities in a competitive third set before Medvedev broke to fifteen to serve for the match.
Appropriately, Medvedev clinched the win with a point at the front of the court, with Moutet failing to manage a volley after over two and a half hours.