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 but it is understood Karti sought more time to reply.
The agency has granted him fresh time to submit documents within the first fortnight of this month.
This is the first time that a notice has been issued to Karti in the case which is being investigated since over an year.
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, and a few others for alleged violations under the stringent Prevention of Money Laundering Act (PMLA).
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The agency, along with the I-T department, had conducted search and seizure operations on the business premises of Chess Global firm in Chennai in the presence of Karti last December.
While Karti has denied any wrongdoing and has reiterated his cooperation with probe agencies, his father P Chidambaram had accused the government of launching a "malicious onslaught" against his family.
to Singapore, Malaysia and few other countries in order to obtain more details in the case even as it is mulling sending a team to these countries to speed up the probe.
In August last year, the Enforcement Directorate had issued summonses to two directors of a firm linked to Karti in connection with the probe in this case.
ED's probe had found that Rs 26 lakh has been allegedly sent from the firm to Aircel Televentures.
The Aircel-Maxis deal is being probed by both ED and CBI and the case is a part of the overall probe in the 2G scam case.
The probe agency had also filed a charge sheet in the Aircel-Maxis deal and had named former Telecom Minister Dayanidhi Maran, his brother Kalanithi, his wife Kavery Kalanithi and few other individuals and two companies as accused in the case.
The agency had also told the court that further probe relating to Foreign Investment Promotion Board (FIPB) approval in the Aircel-Maxis deal and related issues are subject of further investigation under anti-money laundering laws.