US President Donald Trump has met the man who had proudly proclaimed himself "Donald Trump's worst nightmare," but he seemed to find the opposite.

The Republican president and New York City's mayor-elect Zohran Mamdani were warm and friendly, speaking repeatedly of their shared goals to help Trump's hometown rather than their combustible differences.

Trump, who had in the past called Mamdani a "100 per cent Communist Lunatic" and a "total nut job," spoke openly of how impressed he was with the man who had called his administration "authoritarian."

Trump said he was surprised by their "great" meeting and said of the democratic socialist, "I think he is going to surprise some conservative people, actually."

Mamdani and Trump said they discussed housing affordability and the cost of groce

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