Groth will next play second-seeded Alisa Kleybanova of Russia who easily accounted for Corinna Dentoni 6-2 6-4, breaking her Italian opponent's serve twice in each set.
Top-seeded Anabel Medina Garrigues of Spain advanced with a commanding 6-1 6-1 win over Camille Pin of France.
Medina Garrigues, who lost last year's final to Gisela Dulko, won 86 per cent of points on her first serve and broke Pin six times.
She next faces Klara Zakopalova of the Czech Republic, who beat Urzula Radwanska of Poland 7-5 6-2.
Shahar Peer, who was denied a visa for a tournament in the United Arab Emirates earlier this year, also advanced beating Aravane Rezai of France 6-4 2-6 6-4.
The 53rd-ranked Peer was playing in an Arab country for the first time since she was denied a visa for the Dubai Tennis Championships in February.
At the time, Dubai authorities cited security fears to justify their decision, which came as many Arab countries stepped up their boycott against Israel in the wake of its deadly military offensive in the Gaza Strip.
Seventh-seeded Roberta Vinci of Italy avoided an upset when she rallied from a set down to defeat Mariana Duque Marino of Colombia 2-6 6-4 6-1.
Jarmila Groth
Jarmila Groth
Jarmila Groth
Jarmila Groth
Jarmila Groth