Ousmane Ndong completed a brace in Ghaemshahr’s Vatani Stadium as well as a goal from Ali Asghar Ashouri.
Mansour Bagheri pulled a goal back from the penalty spot in the 86th minute.
Esteghlal will play Paykan in Tehran, Malavan play Sepahan in Bandar Anzali and Sanat Naft face Shahrdari Noshahr in Abadan on Saturday.