Boeing's troubled next-generation model has suffered a series of glitches that have prompted investigations by aviation regulators in Japan and the United States, although Boeing insists the plane is safe.
In the latest incident, an All Nippon Airways flight was forced into an emergency landing in southwestern Japan on Wednesday due to a battery problem.
The FAA grounded all US-registered Boeing 787 Dreamliner aircraft Wednesday to address a possible battery fire risk and issued a security advisory alerting international aviation authorities.
Mishra said the Indian aviation regulator had no timeline as to when Air India would be allowed to fly the aircraft, long touted as a solution to the airline's loss-making operations.
"We will track the FAA enquiry into the Dreamliner. We can't say when we will allow it to fly again, it depends on when Boeing gives us satisfaction over safety concerns," he said.
The FAA has said it will work with Boeing and US carriers to develop a corrective action plan "to allow the US 787 fleet to resume operations as quickly and safely as possible".
Air India purchased 27 Dreamliners as part of a 2005 multi-billion-dollar project, with the first plane delivered to New Delhi last September. It now has six of the planes and the remaining 21 are expected to arrive by 2016.
Considered a milestone in the aviation industry with its use of lightweight composite materials and electronics instead of aluminium and hydraulics, some 50 of the US aerospace giant's 787s are in service worldwide.
Boeing, which outsourced much of the production to Japanese and other contractors, says the plane's impressive fuel efficiency represents a revolution in aircraft design.