Justice I S Mehta issued notice to Kumar on a plea by the Special Investigation Team (SIT) seeking cancellation of the the anticipatory bail given to Kumar by the trial court on December 21 last year.
The court posted the matter for the next hearing to November 10.
Earlier, two of the high court judges had recused themselves from hearing the matter.
The timing of each FIR was sought as Kumar is an accused in several anti-Sikh riot cases and the court had expressed concern on how a person could be involved in each one of them.
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The probe agency had informed the court that 10 FIRs were registered in Delhi against the Congress leader after the assassination of then prime minister Indira Gandhi.
The agency had on January 25 moved the high court seeking cancellation of Kumar's anticipatory bail.
The SIT had earlier submitted before the high court bench that the cases filed against Kumar falling in jurisdiction of Janakpuri and Vikaspuri police stations in west Delhi, were lodged after a delay of over 30 years as the complaintant was "scared" to name the accused due to his "powerful" position.
The counsel for the SIT had also submitted that since Kumar's name has cropped up during the investigation in the case, he needs to be interrogated and his custody is also necessary as he has to be confronted with the evidence in the matter.
The complaint in Janakpuri pertains to the killing of two Sikhs -- Sohan Singh and his son-in-law Avtar Singh -- on November 1, 1984.
The other relates to Gurcharan Singh who was killed on November 2, 1984 in the jurisdiction of Vikaspuri police station.
According to the complaint, Gurcharan, who was half burnt, remained bed-ridden for 29 years. He died three years ago.
Seeking anticipatory bail from the trial court, Kumar had argued that his name had appeared in the case after 32 years and it was politically motivated.
The SIT, which was set up in February 2015 on the direction of the Ministry of Home Affairs to reinvestigate the closed case, said that it filed a detailed status report of the ongoing investigation before the trial court.