The FIR, lodged by the CBI on May 15, had alleged irregularities in Foreign Investment Promotion Board (FIPB) clearance to INX Media for receiving overseas funds to the tune of Rs 305 crore in 2007 when Karti's father was the Union Finance Minister.
Additional Solicitor General Tushar Mehta, appearing for the CBI, told a bench headed by Chief Justice Dipak Misra that investigation in the case was at a "crucial stage" and they have placed its details in a sealed cover.
"Was any FIR filed regarding any of these alleged transactions? I have serious objection on this," he told the bench, which also comprised Justices A M Khanwilkar and D Y Chandrachud.
Countering Sibal's submissions, Mehta said "what does this sealed cover contain? Possible transactions that have emerged in the investigation so far in foreign countries and 25 foreign properties of Karti. I cannot go beyond this".
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"I have serious objection. Not a single property has been made abroad. My father, my family are deeply pained on the wild and baseless allegations levelled against me. I have no undisclosed assets anywhere in the world," he said.
"They (CBI) should put an end to these wild allegations. They should file an FIR if they want," he said, adding, "let them show even one undisclosed asset abroad".
To this, Mehta said, "the probe is going on and it is at a crucial stage".
However, the bench said it would take up the matter for final disposal on September 18.
Mehta said the bench could look into the details furnished by the agency in the sealed cover.
The bench said its direction staying the Madras High Court order on LOC will remain in force in the meantime and as a result, Karti will not be able to leave India.
The apex court is hearing CBI's appeal challenging Madras High Court order staying the government's LOC against Karti in the alleged graft case.
On September 1, the CBI had told the top court that there were "good, cogent" reasons for issuing the LOC against Karti.
The bench had given the probe agency the liberty to question Karti as many times it wanted.
Before this, the apex court had said that Karti would not be allowed to leave India without subjecting himself to investigation in the case. The court had then stayed the Madras High Court order putting on hold the LOC issued by the Centre against Karti.
The CBI had claimed that the FDI proposal of the media house, cleared by Chidambaram, was "fallacious".
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