The Mumbai ATS filed an application stating that the agency would like to question the duo.
The ISI is aiding terror activities in India by providing shelter, training and financial assistance to terrorists.
The agency has virtually ruled out Afaq’s role in the Dilsukhnagar twin blasts in Hyderabad in February 2013.
The court extended the police custody of two persons, accused of supplying explosives to the IM terror outfit, by two days.
The pipe for bomb in Bangalore had a seller’s marking — ‘M’ — which was also found on IEDs used in Patna blasts.
Investigations into the Mumbai blasts have revealed that the bombings were carried out by IM members.
Residents of Bhatkal and the families of the accused have raised concerns over the arrests.
Sources said he was an associate in the activities of four others who were arrested last week.
Efforts were also on to analyse whether explosives used in blasts at Hyderabad in 2013, in Pune in 2012.
Riyaz (32), who was residing at Bhatkal in Uttara Kannada district, was picked up by Bengaluru Police.
Along with Dr Afaque’s family the families of the other two also voiced protests over the arrests of their kin.
According to reports, cache of explosives, bomb-making material and circuitry were recovered from them.
The suspect, Abu Faisal allegedly heads a gang having links with SIMI and Indian Mujahideen.
The email was sent to the official email IDs of 10 cabinet and 6 MoS on December 22.
The arguments Islahi made have acquired new resonance in recent months, as IS’ forces have occupied growing swathes of territory in Iraq and Syria.