Senior NIA officials said the agency can take up the case only if the state police registers the case under the anti- hijacking laws.
Modi, a 1984-batch IPS officer, who took over the reins of the country's premier anti-terror organisation -- the National Investigation Agency -- told a press conference that hijacking is a scheduled offence for the NIA.
Flight 9W 339, which had taken off from Mumbai at 2.55 AM with 115 passengers and seven crew members, landed without incident at Ahmedabad around 3.45 AM. The Boeing 737-900 plane was parked at a remote bay and all 122 people on board safely deplaned.
Birju Kishore Salla, the man allegedly behind the scare, has been detained by the Ahmedabad police.
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"We are in touch with the state police. A call will be taken in a day or two after the police registers its FIR," Modi said.
"For us national interest is paramount. We will proceed keeping that in mind," he said when asked whether appointment of Dineshwar Sharma as the Centre's representative for talks in Jammu and Kashmir will affect its probe.
Senior officials, however, added that the decision to question will entirely be of the agency.
On the question of the "love jihad" issue in Kerala, an NIA official said that Kerala government had sent a list of 89 cases for the agency to probe.