The Blues were looking to get back on the track but missed two points in IPL.
Esteghlal created several chances in this match but its strikers wasted their chances.
Winfried Schaefer’s team had lost to its arch-rival Persepolis on Saturday.
On Thursday, IPL leader Persepolis will meet Paykan.
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Persepolis sits top of the table with 48 points, followed by Tractor Sazi and Sepahan both with 46 points.
Esteghlal is fourth with 44 points.