Nineteen of Medvedev's 21 victories have been achieved on hard courts
A comeback Medvedev won his first championship for nearly 30 months with a win over Frenchman Moutet in the tournament title decider.
The Russian, a former world number one, has had a difficult season, managing just one match at the big events and undergoing a setback at the New York tournament.
His varied form on the professional circuit - and struggles with his serving in particular - led to him falling of the top ten and eventually parting ways with long-time trainer Gilles Cervara.
Now working with Johansson and Rohan Goetzke, the tennis star has gradually progressed in the recent weeks - climaxing in a tightly fought 7-5 4-6 6-3 triumph over challenger Corentin Moutet.
This marks Medvedev's maiden trophy following the Italian tournament and first on a hard court after that period of that year.
Victory also means Medvedev has secured 21 championships at 21 distinct competitions.
"For the first time I have attended a tournament with my two daughters at once, so to win a championship is particularly special," stated tennis professional Medvedev.
"This title is in tribute of my second daughter her name, because the initial championship I achieved when my older daughter my daughter was delivered was for her."
The tennis star, the former major winner, had lost his past six title deciders, comprising in Halle earlier this year.
His counter-punching strategy and regular outbursts on the playing surface had caused some to question if his skill to play at the elite level was finished.
However the 29-year-old has implemented adjustments in recent weeks, striving to advance forward and play aggressively, supported by an better serving game.
The champion came back from a deficit in the initial set against the tricky opponent, winning 4 of the final five exchanges to take the lead.
The competitors exchanged break points in the middle set before Moutet, attempting for his initial professional championship, gained dominance to create a third set.
The opponent defended 4 initial chances in a competitive final set before the Russian won the break to fifteen to secure the win.
Appropriately, he earned the win with a point at the net area, with his opponent unable to control a return after over two and a half hours.
