Special CBI court judge Geeta Gopi today issued a notice in this regard to CBI and posted the hearing in the matter on August 14.
Singhal submitted in his plea that the condition of bail which restricts him to remain in Gujarat should be reconsidered.
He has further prayed in his application that he should get back his articles like cell-phone and a tab which were seized by CBI when he was arrested last year in the case relating to the killing of a Mumbai-based college student Ishrat Jahan and three others in an alleged fake encounter.
The probe agency had, at the time of Singhal's arrest, seized cash worth Rs 3.61 lakh, six mobile phones, pen drives, one tab, one laptop, two USB multimedia storage devices from him.
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In February 2012, Singhal was suspended by the then Chief Minister Narendra Modi-led state government after he was arrested by CBI in connection with the encounter case from his post of Superintendent of Police in Kheda district.
However, he was reinstated by the state government as a Group Commandant in the State Reserve Police (SRP) on May 28 this year.
A pen-drive seized from Singhal had spilled the beans on the alleged snooping of a Bangalore-based young architect woman in 2009 by Gujarat government.
Some of the audio tapes purportedly show top state ministers and law officers had allegedly tried to derail the probe in the fake encounter case.