The matter was mentioned before Justice A K Pathak, who asked the Enforcement Directorate (ED) to file a reply within four weeks.
The CBI has claimed in its appeal that it was "impermissible" for the high court to entertain the bail plea filed by Karti when an application seeking similar relief was pending before the trial court.
The agency had alleged irregularities in the clearance of foreign investment in INX media, a venture promoted by former media baron Peter Mukerjea and his wife Indrani, sources said.
The court also sought the investigating agency's response on the Congress leader's anticipatory bail plea and listed the matter for further hearing on July 3.
According to advocate P K Dubey who filed the plea on behalf of Chidambaram, the matter was mentioned in-chamber before a bench of Acting Chief Justice Gita Mittal and Justice C Hari Shankar, which allowed it to be listed later today.
Special judge Sunil Rana allowed CBI's plea seeking five-day custody of Mukerjea after the probe agency claimed that he was required to be confronted with Karti and others in the case.
The CBI opposed the bail plea saying that tampering of evidence and influencing witnesses in the case was a possibility.
The Supreme Court today extended till March 26 the interim relief granted by the Delhi High Court to Karti Chidambaram from arrest in the INX Media money laundering case lodged by the Enforcement Directorate (ED).
The court will also pass order on Karti's plea seeking a separate cell in Tihar Jail and urgent hearing of his bail plea today itself.
Karti Chidambaram was produced in the court of Special Judge Sunil Rana, before whom CBI counsel V K Sharma moved an application for judicial custody of the senior Congress leader's son.
The matter was mentioned in-chamber before Justice S Ravindra Bhat who listed it for hearing tomorrow.
Karti was yesterday sent to three more days of CBI custody with the court saying that the extension of his remand was necessary to maintain continuity in the investigation to secure evidence to arrive at the truth.
Claiming he was innocent and falsely implicated, Karti submitted that he hailed from a well-known, respected and leading family and by occupation he had been in business for several years.
Special Judge Sunil Rana said the court will hear the matter at 2 pm today as Additional Solicitor General (ASG) Tushar Mehta, who had appeared before it on the last hearing, was not available for arguments on behalf of the CBI.
In his fresh writ petition, Karti Chidambaram has challenged the summons on the ground that the ED has no jurisdiction to issue such notices based on the FIR lodged by the CBI.
Karti was arrested by CBI after the confessional statement of Mukerjea in the case on February 28.
Karti may be brought face-to-face with former media barons Peter and Indrani Mukerjea, both accused in the Sheena Bora murder case and currently lodged in a Mumbai jail.
Former Finance Minister P Chidambaram’s son Karti Chidambaram has been accused of influencing public servants to help INX Media escape scrutiny and receiving payments in return.
However, the top court asked Karti to request the competent authority for postponement of Enforcement Directorate summons seeking his appearance on March 1.
ED's special public prosecutor Nitesh Rana said the accused was required to be confronted with various documents recovered during the probe which was at a very crucial stage.
The central probe agency had earlier summoned Karti on February 2 after which he informed them that he would be unable to depose as he has an interlocutory application pending in the Supreme Court in this case.
The investigating officer (IO) of the case will record his statement in the case, they said.