According to the sources, special judge Rakesh Pandit extended period after National Investigation Agency (NIA) told the court that the probe was still underway in the case.
The court also extended the judicial custody of accused persons -- Sheikh Azhar Al Islam, Mohammad Farhan Shaikh and Adnan Hussain -- till June 10.
"After going through the entire material brought before me, the period of investigation and judicial custody of accused persons is extended till June 10. Let they be produced before the concerned court on June 10," the judge said in an in-chamber proceeding.
Earlier, the agency had told the court that the accused persons were required to be interrogated to unearth the larger conspiracy of ISIS in India and abroad.
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It had also told told the court that they were active supporters of Islamic State and remained in close contact with several active members of IS using internet, telephone and other means of communication in furtherance of its activities.
It had told that there was a larger criminal conspiracy of IS activities in India and abroad including recruitment of resident and non-resident Indians by the IS and the accused persons were involved in it.
at the IGI airport here.
The three suspects, along with other unknown associates, were allegedly involved in a conspiracy to identify, motivate, radicalise, recruit and train Indian citizens, located in India and abroad, for planning and executing terror attacks, according to the NIA.
On September 15 last year, the UAE had deported four Indians suspected to have links with ISIS (Islamic State of Iraq and Syria).
The UAE had also sent back last year a 37-year-old woman Afsha Jabeen for allegedly recruiting youths for ISIS.
In January 2015, Salman Mohiuddin of Hyderabad was arrested when he was preparing to board a flight to Dubai on way to Syria via Turkey.