In the match, held in Isfahan’s Fooladshahr Stadium, Alireza Mansourian’s put its Iraqi rival under pressure but failed to score.
Al Wasl of the United Arab Emirates also edged past Saudi Arabian Al Nassr 1–0 in Dubai.
Zob Ahan will travel to Dubai on March 11 to meet Al Nassr.
Al Zawraa will face Al Wasl on the same day.
On Tuesday, Persepolis will host Pakhtakor of Uzbekistan in Tehran and Esteghlal will meet Al Duhail of Qatar in Doha.