The British Muslim family which was prevented from flying to Disneyland was barred because one of the brothers had been refused entry to Israel two years ago and his teenage son's Facebook account had links to terrorist websites, CBS News reported.

The family of 11 was stopped from boarding their flight to Los Angeles at London's Gatwick airport on Tuesday of last week by immigration officials.

Mohammad Tariq Mahmood, who was travelling with his brother and nine of their children, said the officials gave no reason for blocking their travel plans, but claimed he believed it was because American officials "think every Muslim poses a threat".

But CBS News quoted officials at the the U.S. Department of Homeland Security as explaining that the family was barred from travelling to the United States due to one of the brothers in the group having been denied entry to Israel and links on his teenage son's Facebook account to terrorist websites.

Those same officials disputed allegations that all eleven family members were denied permission to board the flight.

The incident prompted a local London lawmaker, Stella Creasy of the main opposition Labour party, to ask British Prime Minister David Cameron to look into what happened.

Cameron's Downing Street office confirmed on Wednesday that the prime minister would respond to Creasy's request.

The issue is particularly sensitive due to the recent uproar over remarks by Republican presidential candidate Donald Trump, who recently suggested that the United States temporarily ban entry of Muslims due to security concerns.

The comments were widely condemned, with White House press secretary Josh Earnest saying the proposal was "disqualifying", and Secretary of State John Kerry claiming this week the comments “endanger national security”.

Cameron weighed in on Trump's comments as well, calling them "divisive, stupid and wrong".