A bench of justices Ranjan Gogoi, R Banumathi and M Shantanagoudar said it does not need to interfere with its 1999 verdict upholding Perarivalan's conviction.
Earlier, the CBI had sought dismissal of Perarivalan's plea claiming it was devoid of any merits.
In an affidavit filed in the apex court, CBI's Multi Disciplinary Monitoring Agency (MDMA), probing the larger conspiracy aspect behind Gandhi's assassination, had said that the role of convict Perarivalan in the conspiracy resulting in the killing of the former prime minister and others have already been upheld by the top court.
The Supreme Court today also asked the MDMA to submit its status report in four weeks.
The agency had said that the application seeking recall of the May 11, 1999 apex court judgement was not maintainable since it seeks to reopen the whole matter on merits which cannot be permissible.
Fourteen others, including Dhanu herself, were also killed.
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