The court also made it clear that the ECI should deal with the perceived breach of code of conduct without putting a lid on the issue, and a separate probe initiated against the party should go on.
The counsel representing the Puducherry unit of the BJP told the judges that the party did not steal any mobile phone data.
Information collected by UIDAI is not used for any purpose other than generation of Aadhaar numbers and authentication, it said.
The UIDAI CEO Ajay Bhushan Pandey told the Supreme Court that apprehensions with regard to leakage of Aadhaar data and security breach have no basis.
It had said that face authentication will be allowed only in fusion mode along with either fingerprint or iris or OTP to verify the details of Aadhaar holders.
Attorney General K K Venugopal, who argued for the Centre, said the UIDAI chief executive may deal with technical aspects with more clarity.
An operator is blacklisted on crossing a certain threshold of errors during enrolment, Minister of State for Electronics and IT, Alphons Kannanthanam said.
The UIDAI has slapped notices on Bharti Airtel and Airtel Payments Bank over its retailers allegedly opening payments bank accounts without taking "informed consent" of customers.
WikiLeaks, in a tweet last week, had said, "Have CIA spies already stolen #India's national ID card database?"
The Aadhaar numbers were deactivated for a number of reasons stated in Section 27 and 28 of Aadhaar (Enrolment and Update) Regulations, 2016.
Enrolment agencies play disappearing act; missing data, security concerns continue to haunt Aadhaar system.