A bench of justices R K Agrawal and A M Sapre allowed Singh to file his reply in four weeks and adjourned the matter.
Senior advocate Kapil Sibal, appearing for Singh, said that he needs some time to file the reply on the investigating agency's plea.
The bench adjourned the matter for March 16.
The CBI had challenged a limited part of the order of the Delhi High Court passed in the case of Virbhadra Singh on March 31, 2017, in which it had said that the consent issue will be adjudiciated by the trial court.
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The CBI has said that section 6 of the Delhi Special Police Establishment (DSPE) Act, 1946, does not talk about the nature of consent and, therefore, it needs a clarification on the issue as it would affect its power to investigate offences which are committed in the states.
Section 6 of DSPSE Act deals with the consent of a state government for exercising of powers and jurisdiction by CBI officials.
The CBI had contended before the high court that there was a general consent granted by the Himachal Pradesh government on August 24, 1990, to probe the offences of central government employees in the territory of the state.
He had said that he was not an official "of a central government department or any other central institution located in the territory of Himachal Pradesh".
The high court had, however, said it will be for the trial court to look into the consent order aspect, when the charge sheet was filed as it would then emerge as to what was the material/evidence collected by the investigating agency that was sought to be relied upon by the prosecution.
In the same order, the high court had refused to quash the disproportionate assets case filed by the CBI against Virbhadra Singh and his wife, saying there was no basis to claim that the FIR was the result of any "political vendetta".
It had also turned down the question framed by the Himachal Pradesh High Court on whether the permission of the Speaker of the state assembly was mandatory before registration of an FIR.