Bartoli reached her fourth final of the season by defeating Japan's Kimiko Date Krumm 6-1, 6-3, while Rezai posted a convincing win over Spain's Maria Jose Martinez Sanchez 6-2, 6-3.
Date Krumm, at 39 the oldest player on the WTA Tour, was seeking her second final of the year after winning the Korea Open in September.
Federer in semis
World number one Roger Federer breezed into the Swiss Indoors semifinals in Basel on Friday but the home crowd's hopes of an all-Swiss final were dashed when Novak Djokovic rallied to beat Stanislas Wawrinka.
Federer overcame Evgeny Korolev 6-3, 6-2 and will face unseeded compatriot Marco Chiudinelli, a 6-1, 6-3 winner over Frenchman Richard Gasquet, in Saturday's semifinal. Djokovic beat Wawrinka3-6, 7-6, 6-2.
He will face fifth seed Radek Stepanek who beat fourth seed Marin Cilic 4-6, 6-3, 6-3.