Nineteen of Medvedev's 21 titles have been earned on hard surfaces
A comeback Medvedev won his first trophy for 882 days with success over Corentin Moutet in the Almaty Open championship match.
The Russian, a ex- number one, has endured a torrid season, winning just one win at the major tournaments and undergoing a setback at the New York tournament.
Medvedev's unpredictability on the tennis tour - and struggles with his serving in especial - led to him dropping out of the elite rankings and ultimately separating with former coach Gilles Cervara.
Presently collaborating with Johansson and his other coach, the tennis star has gradually progressed in the past month - culminating in a closely contested three-set win over Frenchman Moutet.
This represents Medvedev's initial title after the Italian tournament and maiden on a hard court since spring of that year.
Success also signifies Medvedev has achieved 21 victories at 21 various competitions.
"This marks the first occasion I am participating in a tournament with my both daughters together, so to secure a championship is especially meaningful," said tennis professional the champion.
"This title is in honour of my child my daughter, because the maiden victory I got when my first daughter her name was delivered was for her."
Medvedev, the former major winner, had been defeated in his last six title deciders, comprising in Halle previously this season.
His defensive play style and recurring reactions on court had led commentators to wonder if his skill to play at the top level was over.
Yet the player has implemented adjustments in the past month, making an effort to advance forward and play assertively, backed up by an better serve.
Medvedev recovered from a disadvantage in the opening set against the tricky Frenchman, winning 4 of the final five points to take the lead.
The pair exchanged break points in the following set before Moutet, bidding for his maiden ATP Tour championship, took control to force a final set.
He rescued four initial opportunities in a close third set before the Russian secured a break to that score to secure the win.
Fittingly, Medvedev earned victory with a rally at the net area, with the Frenchman failing to manage a volley after over two and a half hours.