Highly-placed sources in the agency said that Kumar, a 1968 batch IPS officer, would be called for questioning in the case and understanding the sequence of the events that led to the encounter.
The input given by Kumar was the alleged reason behind the killing of Jamal, a resident of Bhavnagar city, by a team of Gujarat crime branch in an encounter near Galaxy Cinema on the outskirts of Ahmedabad on January 13, 2003.
The sources did not rule out the possibility of questioning of the then Joint Director of IB's operational cell who later become the head of the organisation.
They said role of Kumar, who was handling Western Zone in the Intelligence Bureau at the agency headquarters, was under scanner of the agency for the alert that Jamal was a terrorist on a mission to eliminate VIPs in Gujarat.
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The CBI has already questioned a Maharashtra cadre officer of the rank of Joint Secretary twice and would now be summoning Sudhir Kumar and Rajendra Kumar.
At that time, Gujarat Police had claimed that he was a terrorist who entered the city to kill Chief Minister Narendra Modi and VHP leader Pravin Togadia, a claim similar to that made during the Ishrat Jahan encounter case.