Herbert breezed through the opening set but Berdych offered more resistance in the second, only for the former world number four to crack at a key moment. "I'm glad that things didn't get complicated and I made it to the final", said Medvedev.
Daniil and Marton played a tight match in Monte Carlo past year and that certainly wasn't the case today, with the Russian saving two out of three break points and pushing the rival to the limits on the second serve (Fucsovics was three from 22) to create nine break chances and convert four. "Today, I served very well, this is my best serving day so far".
"Like in the match against Karen, I was a set down and I tried to stay focused", said the 1.96m Italian, who turns 23 in April.
At the Open Sud de France in Montpellier, 2012 victor Tomas Berdych fought off two match points to secure a 7-6 (7-3) 6-7 (5-7) 7-5 win over Filip Krajinovic.
Daniil Medvedev had a comfortable win the previous round as he beat Martin Klizan in straight sets.
However, Krajinovic - a Paris Masters finalist in 2017 following a surprising run from the qualifying rounds - broke back, took the tiebreaker and then led 5-4 and 40-15 in the third. But the 32-year-old was impressive against No. 2 seed Stefanos Tsitsipas in the Sofia quarterfinals Friday.
The Czech's last-four opponent will be seventh seed Pierre-Hugues Herbert, who ousted Denis Shapovalov 7-5 7-6 (7-4).
Monfils will now take on Radu Albot in the semi-final, after the Romanian got the better of Marcos Baghdatis in another quarter-final match.