Presumptive Republican presidential nominee Donald Trump has not backed down from his proposal to temporarily ban Muslims from entering the U.S.

On May 11, the business mogul signaled that he may appoint former Republican Mayor Rudy Giuliani to head a commission enforcing the travel ban.

“We have to be extremely careful,” Trump told Fox News. “In fact, I’m thinking about setting up a commission perhaps headed by Rudy Giuliani to take a very serious look at this problem. But this is a worldwide problem. And we have to be smart.”

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Trump added that his controversial Muslim ban would be temporary, an extraordinary measure he would impose until his administration had found a satisfactory solution to Islamic terrorism.

“If you don’t want to discuss the problem, then we’re never going to solve the problem,” Trump said. “It’s a real problem. So we’ll figure it out, and we will get it going.”

Giuliani had been New York’s mayor during the Sept. 11, 2001 terror attack carried out by Al Qaeda. While he has endorsed Trump for the presidency, he has previously deemed the business mogul’s proposed Muslim ban unconstitutional, according to Breitbart.

In December 2015, Giuliani cautioned “if you do a ban on all Muslims, I have no question that you violate the first amendment.”

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The former mayor explained that posing a religious test on immigration would violate the Constitution as well as hurt American businesses.

“We have to tell people things that are realistic,” Giuliani said. “Thousands and thousands of Egyptian people from Dubai, people from the Arab Emirates, we do business with them. We own businesses there, they own businesses here. We trade oil, natural gas.”

The former mayor added that a Muslim ban would be counterproductive in curbing international terrorism. "... you would really take that population and start radicalizing a lot more of them if you did it. To me, it’s not a sensible proposal.”

Trump’s proposal has been widely ridiculed by international leaders. One critic is Sadiq Khan, who recently was elected as London’s first Muslim mayor.

“Donald Trump’s ignorant view of Islam could make both our countries less safe — it risks alienating mainstream Muslims around the world and plays into the hands of extremists,” Khan told the BBC.

“Donald trump and those around him think that western liberal values are incompatible with mainstream Islam — London has proven him wrong,” Khan added.

Sources: BBC, Breitbart, Fox News via YouTube / Photo credit: Gage Skidmore/Flickr