"We are not inclined to entertain it," a bench of justices A K Patnaik and Ranjan Gogoi on the West Bengal government's petition.
The High Court had on May 13 ordered a CBI probe in the case and had directed the CID, which was investigating the case, to hand over all papers and documents with regard to the case to the central agency.
A friend of Nasiruddin was allegedly called to the police station in the late hours of January 18 and was asked to take him to hospital claiming that he was not well.
On being taken to a government hospital, the doctors declared Nasiruddin brought dead.
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The state government had handed over the investigation into Nasiruddin's death to CID following a furore over the death.
The High Court, upon hearing the submissions of the petitioner and the state, had criticised the pace and manner of the investigation.