Union minister Kiren Rijiju said Pakistan should file charge sheet against Saeed.
"We have been exerting pressure on Pakistan continuously. We are bringing it to the notice of the world too that how not only Saeed, but others (terrorist) too, are being allowed to thrive there (in Pakistan).
"Pakistan will definitely take steps in that direction if there's pressure from all sides," he told reporters outside Parliament.
Rijiju observed that terrorism has become a concern for all countries including the US and insisted Pakistan to launch crack down on terrorists thriving in its territory, which the Minister added, has become a breeding ground for terrorism.
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"He should be handed over to India...I think Government of India should threaten Pakistan (to hand him over). If they ignore the threat, we should prepare to disintegrate Pakistan into four pieces," he added.
Former Union Home Secretary and BJP MP RK Singh too downplayed the reports terming the detention as "eyewash" and a "joke" on part of Pakistan to avoid itself from being listed among countries from where immigration has been stopped.
Singh also stated that Pakistan should be listed among those countries where immigration has been stopped, contending it has become a hotbed of terrorism and jihadi ideology.
According to JuD activists, Saeed was at Masjid-e-Qudsia Chauburji in Lahore when police descended there to implement the order of detention issued by Punjab Province's Interior Ministry in pursuance to a directive from the Federal Interior Ministry on January 27.