Accused firm M/s Hutchison Max (P) Ltd and M/s Sterling Cellular Ltd had filed separate pleas questioning the special court's jurisdiction to deal with the case.
During the hearing, senior advocate Sidharth Luthra, who appeared for one of the accused firms, submitted a rejoinder to the CBI's reply filed on the pleas questioning jurisdiction of the court to hear the case.
After the rejoinder was filed, special public prosecutor Anand Grover said he would go through it before advancing the arguments.
The court said it would also hear the bail plea of former Telecom Secretary Shyamal Ghosh, an accused in the case, and arguments on charges on the next date of hearing.
CBI has chargesheeted Shyamal Ghosh and three telecom firms -- Hutchison Max, Sterling Cellular and Bharti Cellular Ltd -- as accused in the case relating to the Department of Telecommunications allocating additional spectrum which had allegedly resulted in a loss of Rs 846 crore to the exchequer.