All 130 passengers and 6 crew members on board the Aircraft were alighted safely.
Captain D. Ganesh Babu was informed of the incident by the ground staff at Trichy.
The flight had got damaged under the belly and was declared fit for operations after inspection at Mumbai Airport.
Another flight was arranged to take the passengers from Mumbai to Dubai.
The engineering team is assessing the damages, they said, adding that a ferry flight was sent from Kochi to fly the passengers stranded in Mumbai to their destination.
A statement by Air India Express said an internal investigation into the incident has been ordered, and the pilot and co-pilot have been de-rostered until the inquiry is completed, ANI reported.
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The aircraft's wheels had hit the wall, officials said.
The plane took off from the airport here around 1:30 am for Dubai, but was diverted to Mumbai where it landed at 5:35 am, airline officials said.
Tamil Nadu Tourism Minister Vellamandi N Natarajan visited Tiruchirappalli airport and inspected the accident spot. "The plane might have overshot the runway", an official of the Directorate General of Civil Aviation told media.
"In order to have continuous attention towards air safety, I have also ordered concerned officials to put in place a regular "safety compliance report" of all airlines".
Air traffic in India is booming but Prabhu said that "safety of the passengers is of paramount importance for us". The pilot however continued to operate the aeroplane saying the systems were operatinf normally. The First Officer Captain Anurag has an experience of about 3000 hours on the B 737.
Air India has grounded two pilots after one of its jets carrying 136 people hit an airport perimeter wall on takeoff and then flew for nearly four hours with a damaged body. "The matter has been duly reported to the DGCA and the airline is fully cooperating with the investigation", the airline said.