A bench of justices Pradeep Nandrajog and Mukta Gupta issued notice to the agency for November 26 and asked it to file status report on the issues raised by the two petitioners -- former MCD councillor Balwan Khokar and retired naval officer Bhagmal, convicted in the case.
It also directed the Tihar Jail Superintendent to file the latest medical status report of the two convicts.
86-year-old Bhagmal has sought three months interim bail, saying he is "suspecting enlarged prostate cancer", so he has to undergo surgery.
Khokar also sought relief on another medical ground, saying his nose got broken after a fall in the jail premises.
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Khokar, Bhagmal and Girdhari Lal were the three persons who were awarded life imprisonment by the trial court in May.
While they sentenced to life imprisonment, two other convicts -former MLA Mahender Yadav and Kishan Khokar- were given three years jail term each.
The case relates to the murder of five members of a family in Raj Nagar area of Delhi Cantonment on November 1, 1984.
The convicts have filed their appeals before the High Court while CBI also filed its appeal demanding death sentence for the trio, saying they were engaged in "a planned communal riot" and "religious cleansing".