Takla, an accused in the 1993 Mumbai serial blasts case, had earlier been remanded to the Central Bureau of Investigation's (CBI) custody till today.
During today's hearing, the CBI appealed for Takla's custody to be extended, saying it needed time to verify the statements he made during the interrogation.
The agency also claimed that Takla was not cooperating in the probe.
Takla was arrested at an immigration counter of New Delhi's Indira Gandhi International Airport earlier this month.
Takla had fled the country after the 1993 Mumbai blasts, in which 257 people were killed.
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