A three-judge bench headed by Chief Justice Dipak Misra will hear the petitions.
The bench, also comprising Justices A.M. Khanwilkar and D.Y. Chandrachud, said it will hear in details various aspects of the matter, including the Centre's preliminary objection that the issue fell under the domain of the executive and hence was not justifiable.
The apex court also asked Centre and two Rohingya Muslims, who have challenged to deport refugees to Myanmar, to desist from making emotional arguments and personal attacks and to file documents, including international conventions.
The top court further said that it will hear arguments only on the points of law as the matter concerned humanitarian cause and humanity which required to be heard with mutual respect.
The plea, filed by two Rohingya immigrants, Mohammad Salimullah and Mohammad Shaqir, claims they had taken refuge in India after escaping from Myanmar due to widespread discrimination, violence and bloodshed against the community there.
Many of those, who had fled to India after the earlier spate of violence, are settled in Jammu, Hyderabad, Haryana, Uttar Pradesh, Delhi-NCR and Rajasthan. (ANI)