Nineteen of the Russian's twenty-one victories have been achieved on hardcourt
A revitalized Medvedev claimed his first trophy for 882 days with victory over Frenchman Moutet in the Almaty Open final.
Medvedev, a former world number one, has endured a torrid season, winning just one win at the Grand Slams and experiencing a setback at the US Open.
Medvedev's unpredictability on the ATP Tour - and issues with his service game in especial - led to him exiting of the elite rankings and eventually splitting with long-time trainer his previous coach.
Now training with Thomas Johansson and Rohan Goetzke, the tennis star has gradually advanced in the past month - culminating in a hard-fought 7-5 4-6 6-3 win over Frenchman Corentin Moutet.
This marks his maiden title since the Rome competition and first on a hardcourt after that period of that year.
Victory also signifies he has achieved 21 titles at twenty-one various competitions.
"It's the first time I'm at a event with my two daughters at once, so to get a trophy is particularly special," commented ranked player the champion.
"This championship is in dedication of my second daughter Victoria, because the initial championship I won when my child Alisa was delivered was for her."
The athlete, the past champion, had been defeated in his past six finals, including in that event in the past months.
Medvedev's counter-punching strategy and frequent emotional displays on court had prompted some to doubt if his capacity to compete at the highest level was finished.
But the 29-year-old has made changes in recent weeks, attempting to approach the net and perform assertively, backed up by an enhanced serve.
The champion came back from a disadvantage in the initial set against the difficult opponent, taking 4 of the final five points to take the lead.
The pair swapped breaks in the middle set before Moutet, bidding for his maiden professional championship, seized the initiative to create a decider.
He rescued four early-game opportunities in a tight final set before Medvedev broke to fifteen to serve for the match.
Fittingly, Medvedev clinched victory with a rally at the front of the court, with the Frenchman unable to control a shot after over two and a half hours.