The CBI filed a status report regarding further probe in the matter before Additional Chief Metropolitan Magistrate Shivali Sharma who asked the agency to also file the reply of High Commission of Canada.
During the hearing, the agency sought four months' time to complete the probe saying they have to get the details from Canada and they had earlier approached the Canadian High Commission orally.
It posted the matter for July ,11 directing the CBI to complete the probe by then and file its report.
Senior advocate H S Phoolka, representing riot victims, objected to CBI's submissions saying the court had earlier asked the agency to probe on 11 points and barring one, all others can be probed here, and majority of them are concerned with the Canadian High Commission.
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The court had on December 4, 2015, directed CBI to further probe the riots case against Tytler, saying the statement of arms dealer Abhishek Verma disclosed an active role played by the Congress leader in extending "helping hand" to a witness against him.
The case pertains to the riots at Gurudwara Pulbangash in North Delhi where three people were killed on November 1, 1984, a day after the assassination of then Prime Minister Indira Gandhi.
The court's order had come on a protest petition filed by complainant Lakhvinder Kaur, whose husband Badal Singh was killed in the violence, challenging the CBI's closure report exonerating Tytler.
CBI had re-investigated the case of killing of Badal Singh, Thakur Singh and Gurcharan Singh near the gurudwara after a court had in December 2007 refused to accept the closure report. CBI had filed three closure reports in the case. Tytler has denied any role in the riots.