Nineteen of the Russian's twenty-one titles have been earned on hard surfaces
A resurgent the Russian player secured his initial title for 882 days with victory over Frenchman Moutet in the Almaty Open championship match.
The Russian, a former world number one, has endured a torrid year, managing just one match at the major tournaments and experiencing a difficult moment at the US Open.
The player's unpredictability on the professional circuit - and struggles with his service game in specific - caused him dropping out of the elite rankings and eventually splitting with former trainer Cervara.
Presently collaborating with his coach and his other coach, he has steadily improved in the recent weeks - culminating in a closely contested 7-5 4-6 6-3 win over challenger Moutet.
This marks Medvedev's initial title since the Rome competition and maiden on a hard court after spring of the previous year.
Success also means the Russian has achieved twenty-one titles at twenty-one different events.
"For the first time I'm at a competition with my children simultaneously, so to win a title is really nice," commented tennis professional the champion.
"This title is in dedication of my younger daughter Victoria, because the initial championship I got when my child my daughter was born was for her."
The athlete, the former major winner, had failed in his previous six finals, featuring in Halle in the past months.
His defensive strategy and recurring emotional displays on the tennis court had prompted commentators to question if his ability to perform at the elite level was over.
But the athlete has altered his approach in recent weeks, attempting to advance forward and perform positively, reinforced by an enhanced serve.
Medvedev came back from a break down in the opening set against the tricky Frenchman, winning four of the final five exchanges to take the lead.
The pair swapped breaks in the following set before the challenger, striving for his initial ATP Tour victory, seized the initiative to force a final set.
Moutet saved 4 early break points in a close deciding set before Medvedev broke to 15 to serve for the match.
Suitably, the winner earned victory with a shot at the net area, with his opponent failing to handle a volley after two hours and 38 minutes.