The Cessna had taken off from the city of Hermosillo in Sonora on a flight to Tucson, Arizona, when it crashed shortly after takeoff.
The plane was coming in from Dubai and it overshot the runway as it landed. "Several passengers are injured," an Air India spokesman said.
Finding the boxes — cockpit voice and flight data recorders — could offer crucial clues as to why the Sriwijaya Air Boeing 737-500 plunged some 10,000 feet (3,000 metres) in less than a minute before slamming into the Java Sea.
UK search and rescue authorities are taking part in the search of the crash site. Lakenheath is a Royal Air Force base that hosts the US Air Force's 48th Fighter Wing, known as the Liberty Wing. The base is about 80 miles (130 kilometres) northeast of London.
Ambassador Kapoor said on Twitter, “Distressed to learn of this accident. Our thoughts and prayers are with the passengers and their families.”
It is so sad that the crashlanding of the Air India Express plane at the runway of the Calicut International Airport in heavy rain near the southern city of Kozhikode on Friday claimed 18 lives
The Boeing 737-500 plane with 62 people on board plunged into the Java Sea on Saturday, four minutes after taking off from Jakarta's main airport.
More than 3,600 rescue personnel, 13 helicopters, 54 large ships and 20 small boats are searching the area just north of Jakarta where Flight 182 crashed and have found parts of the plane and human remains in the water at a depth of 23 metres.
Windania arrived at the airport and recorded a message not knowing it was her final message to the family, saying "Bye bye family. We're heading home for now."
His Highness Sheikh Mohamed Bin Zayed Al Nahyan, Crown Prince of Abu Dhabi and Deputy Supreme Commander of the UAE Armed Forces, has extended his sincere condolences to Prime Minister of Pakistan Imran Khan on the victims of Friday’s plane crash in a residential area in Karachi, praying to Allah Almighty to bestow mercy and forgiveness on the dead and give strength to their families to bear the tragedy.