19 of Medvedev's twenty-one victories have been earned on hardcourt
A comeback the Russian player secured his first title for 882 days with victory over Frenchman Moutet in the Almaty Open title decider.
Medvedev, a former top-ranked player, has endured a difficult year, winning just one win at the big events and undergoing a setback at the American major.
Medvedev's inconsistency on the ATP Tour - and issues with his service game in specific - resulted in him falling of the world's top 10 and eventually parting ways with long-time trainer his previous coach.
Presently collaborating with Thomas Johansson and Goetzke, Medvedev has steadily advanced in the past month - culminating in a hard-fought 7-5 4-6 6-3 triumph over opponent Moutet.
This represents Medvedev's first championship following the Rome competition and first on a hard court since spring of that year.
Victory also indicates he has won twenty-one victories at twenty-one different competitions.
"This marks the first occasion I'm at a competition with my both daughters together, so to win a championship is particularly special," commented tennis professional Medvedev.
"This victory is in tribute of my second daughter my daughter, because the maiden victory I got when my older daughter her name was born was for her."
The tennis star, the former major winner, had failed in his previous six finals, featuring in that event in the past months.
His retrieving approach and recurring reactions on the playing surface had caused some to wonder if his ability to perform at the elite level was concluded.
However the player has altered his approach in the last few weeks, striving to come to the net and compete aggressively, reinforced by an enhanced serve.
The champion fought back from a disadvantage in the initial set against the difficult Frenchman, securing 4 of the last five exchanges to gain the advantage.
The pair exchanged service breaks in the second set before the challenger, attempting for his maiden professional title, seized the initiative to force a third set.
Moutet rescued four early-game chances in a competitive third set before the Russian broke to fifteen to secure the win.
Appropriately, the winner earned victory with a point at the net area, with Moutet unable to manage a volley after over two and a half hours.