The SRB headed by Delhi Home Minister Satyendar Jain on Wednesday had deferred the decision on the early release of Bhullar, who is currently lodged in the Amritsar jail.
Parkash Singh Badal had accused Arvind Kejriwal of not signing release papers of Bhullar and said that the matter should not be kept pending.
The accused, Bharat Bhushan Kataria (47), is undergoing treatment at AIIMS and is completely stable, officials said on Sunday.
A man was injured in the explosion that took place on Thursday, creating panic among lawyers and the public and raising questions about security arrangements there.
This year on February 16, a Delhi court acquitted Fazili along with another Kashmiri, Mohammad Rafiq Shah of all charges in 2005 Delhi serial blasts case.