The apex court also modified its interim order granting protection to officer against inquiry.
Assets include Kalanithi Maran's shares worth Rs 139 cr in Sun Direct.
The CBI had summoned Karti to appear before it on October 4.
On August 29, CBI had filed the charge sheet in the case against Dayanidhi, Kalanithi and six others, including four firms.
The Opposition on Thursday targeted P Chidambaram in the Lok Sabha over the Aircel-Maxis deal, dubbing it as a "big scam" allegedly involving his son, but the home minister dismissed the charges as "wild and reckless".
The Delhi high court on Wednesday stayed the trial court proceedings against senior Congress leader P Chidambaram in the Aircel-Maxis case lodged by the Enforcement Directorate.
He was chargesheeted for the offences punishable under section 120-B
Chidambaram and his son Karti were named in the chargesheet filed by the Central Bureau of Investigation in the case on July 19.
Maxis Communications Berhad of Malaysia and its Indian joint venture company will acquire 100 per cent stake in Aircel Limited, a leading Indian mobile operator.\n\n
The father-son duo are in the radar of the probe agencies in another case concerning the Aircel-Maxis deal.
Apart from them, Chidambaram's wife -- Nalini -- has been chargesheeted by the CBI in the Saradha chit-fund scam for allegedly accepting a bribe of Rs 1.4 crore.
In a bid to corner the Congress after it launched a tirade against it for imposition of President's rule in Uttarakhand, the ruling dispensation has decided to raise issues of AgustaWestland Chopper scam, Aircel Maxis scam and the Ishrat Jahan case in the Parliament on Wednesday.
Maxis Communications Berhad (MCB), which has been named in a CBI chargesheet for alleged wrong doing in sale of Aircel, on Tuesday denied charges of using illegal means to acquire the firm from Siva Ventures and said it will pursue all legal remedies to defend itself and its officials.
The Central Bureau of Investigation had called Karti for questioning on Thursday in connection with the foreign investment clearance given in the Aircel-Maxis deal in 2006 when his father Chidambaram was the finance minister.
In April 2013, CBI had first told the Court there were "some difficulties" in the probe after it went abroad.
This is the second time the former finance minister has got relief from arrest.
The move comes after CBI gets sanction to prosecute him in Aircel-Maxis case
The court extended the interim protection granted to Chidambaram and his son, Karti, till December 18.
A Delhi court has allowed Congress MP Karti Chidambaram, accused in Aircel-Maxis and INX Media scam cases, to travel to Spain and the United Kingdom from June 25 to July 17.
The senior Congress leader's role has come under the scanner of investigating agencies in the Rs 3,500-crore Aircel-Maxis deal and the INX Media case involving Rs 305 crore.
A bench headed by Chief Justice Ranjan Gogoi allowed his plea as Solicitor General Tushar Mehta, appearing for CBI and the Enforcement Directorate, did not oppose.
Declining urgent hearing, the top court observed that judges have more cases 'than they can handle'.
The court's direction came after Singh alleged conspiracy over filing of "frivolous anonymous complaints" against him with the revenue secretary saying these were being entertained by the ED.
The ED also alleged that Karti had 'disposed' off a property in Gurugram and had 'closed certain bank accounts.
Officials said the agency had issued a notice to Karti to present himself in person or through an authorised representative and submit personal financial documents and those related to a firm this week.
Chidambaram and his son Karti Chidambaram were named in the chargesheet filed by the CBI in the case on July 19.
The probe pertains to firms identified as Advantage Strategic Consulting Private Limited and Chess Global Advisory Services Pvt Ltd, where Karti had been a director
The Congress leader is also being probed by ED in two separate money-laundering cases of Aircel-Maxis and INX Media.
Chidambaram had on Wednesday rushed to a trial court for protection from arrest in Aircel-Maxis case before approaching the Delhi high court in connection with the INX Media case, in which he has been asked by probe agencies to join investigations.
CBI had started preliminary inquiry into the deal on January 4, 2011 and nine months later on October 9 had registered the FIR.
Chidambaram has not been named as an accused in the FIR and the CBI is yet to file a chargesheet in the matter.
In a setback to Maran brothers, the Madras high court on Wednesday dismissed petitions filed by Kalanithi Maran owned Sun TV and Kal Communications challenging the attachment of their properties by Enforcement Directorate in connection with money laundering probe in Aircel-Maxis deal.
AG's view in the long-pending case related to the Aircel-Maxis deal has come in less than two months of the Narendra Modi government taking charge at the Centre.
The United Progressive Alliance government has rejected Janata Party chief Subramanian Swamy's allegations against Home Minister P Chidambaram in the Aircel-Maxis equity issue saying they were "totally baseless".
Action is hotting up in the telecom space, with Russian giant Sistema in preliminary discussions with Aircel to pick up an equity stake.
The Enforcement Directorate has registered a money laundering case against former Union Minister Dayanidhi Maran and his brother Kalanidhi in connection with the 2G spectrum allocation case.
The Enforcement Directorate opposed the bail application before special judge O P Saini in its written submission and sought time to argue the matter.
Justice A K Pathak had asked Chidambaram to join questioning and cooperate in the investigation as and when called by the CBI.
Breaking his silence on Central Bureau of Investigation action against the Maran brothers over the Aircel-Maxis deal, Dravida Munnetra Kazhagam President M Karunanidhi on Tuesday said his support would always be with them to face the present situation.