The Czech world No. 7 Berdych handled France's Nicolas Mahut 6-3, 6-4 on the indoor hardcourts at the Arena Montpellier.
Simon and Monfils, meanwhile, will square off in an all-French semi here on Saturday. The second-seeded Simon outlasted wild card compatriot Guillaume Rufin 7-6 (7-5), 6-7 (2-7), 6-2, while a third-seeded Monfils mauled eighth- seeded Finn Jarkko Nieminen 6-3, 6-3 on Day 5.
Monfils captured this ATP World Tour 250 event when it was last contested in 2010.
The winner of this $518,000 tournament will collect $95,000.