The incident did not cause any harm to the passengers, they said.
There was no damage to the aircraft and it later took off for its return journey to New Delhi, an Air India spokesperson said.
The incident happened at around 9 AM when the Air India flight (AI 803) from New Delhi with 127 passengers on board was landing at the Bangalore airport.
The aircraft made a normal landing and all the passengers were de-planed safely, sources added.
Air India has recently inducted two Dreamliners in its fleet, after a delay of over four years by the US aircraft maker Boeing.
As a part of the original delivery schedule, all the 27 Dreamliners, ordered by the national carrier in 2006, Boeing had to commence the delivery in 2008.