The 31st-ranked Medina Garrigues won this clay-court event in 2001 and then three straight times between 2004 and 2006.
Top-seeded Flavia Pennetta routed Georgian qualifier Margalita Chaknashvili 6-1, 6-1.
No. 5 Sara Errani advanced when Carla Suarez Navarro of Spain retired due to a finger injury with Errani leading 4-1 in the first set, and No. 7 Mariya Koryttseva beat lucky loser Anastasia Pavlyuchenkova 7-6 (4), 6-3.
Medina Garrigues reaches Fez quarters
Liverani joins Palermo
Palermo reject Gunners link
Top-seeded Garrigues marches into SAR semifinals