19 of Medvedev's twenty-one titles have been won on hardcourt
A resurgent Medvedev won his maiden trophy for 882 days with victory over Frenchman Moutet in the competition championship match.
Medvedev, a former world number one, has experienced a challenging period, managing just one win at the Grand Slams and suffering a difficult moment at the American major.
Medvedev's varied form on the ATP Tour - and struggles with his serve in particular - led to him falling of the top ten and finally parting ways with long-time mentor Gilles Cervara.
Now collaborating with Johansson and Rohan Goetzke, the tennis star has gradually improved in the last few weeks - culminating in a closely contested three-set win over challenger Moutet.
This represents his initial trophy since the Italian tournament and maiden on a hard court from March of 2023.
Victory also indicates the Russian has won 21 championships at 21 various competitions.
"This marks the first occasion I have attended a competition with my children at once, so to secure a trophy is particularly special," commented ranked player Medvedev.
"This victory is in tribute of my child my daughter, because the first title I won when my child her name was delivered was for her."
The tennis star, the former major winner, had failed in his past six finals, comprising in that event previously this season.
The player's counter-punching approach and frequent emotional displays on the playing surface had caused observers to doubt if his skill to perform at the top level was finished.
However the 29-year-old has altered his approach in the past month, striving to advance forward and play aggressively, supported by an improved service.
Medvedev came back from a disadvantage in the initial set against the tricky Moutet, taking four of the final five games to take the lead.
The pair swapped service breaks in the following set before the Frenchman, striving for his initial ATP Tour victory, seized the initiative to create a final set.
The opponent rescued four early-game break points in a close final set before the Russian broke to fifteen to secure the win.
Fittingly, the winner clinched victory with a rally at the net, with the Frenchman failing to control a volley after over two and a half hours.
