Nineteen of Medvedev's twenty-one championships have been achieved on hardcourt
A resurgent the Russian player claimed his maiden title for 882 days with a win over Frenchman Moutet in the Almaty Open championship match.
The Russian, a ex- top-ranked player, has had a challenging year, winning just one match at the big events and suffering a difficult moment at the New York tournament.
His varied form on the ATP Tour - and difficulties with his service game in specific - caused him exiting of the elite rankings and ultimately separating with long-term mentor Cervara.
Presently working with Thomas Johansson and Goetzke, he has gradually progressed in the recent weeks - climaxing in a hard-fought competitive victory over opponent Moutet.
This marks Medvedev's initial title following the Rome competition and first on a hard court after spring of that year.
Victory also indicates Medvedev has won 21 championships at 21 distinct events.
"For the first time I have attended a competition with my children at once, so to get a trophy is really nice," commented tennis professional Daniil Medvedev.
"This title is in tribute of my child her name, because the initial championship I achieved when my first daughter Alisa was delivered was for her."
The athlete, the former major winner, had lost his previous six championship matches, comprising in Halle previously this season.
Medvedev's retrieving strategy and frequent emotional displays on the playing surface had caused commentators to doubt if his skill to play at the top level was finished.
But the 29-year-old has implemented adjustments in the last few weeks, attempting to approach the net and perform aggressively, backed up by an enhanced service.
Medvedev recovered from a disadvantage in the first set against the tricky Moutet, securing 4 of the final five exchanges to go ahead.
The competitors swapped break points in the second set before the Frenchman, attempting for his maiden professional title, took control to push for a final set.
Moutet saved 4 initial opportunities in a close deciding set before the Russian won the break to fifteen to serve for the match.
Suitably, the winner earned the win with a point at the net, with Moutet unable to manage a return after over two and a half hours.