MEXICO CITY, Oct. 21 (CGTN) -- A US-bound caravan of thousands of mostly Honduran migrants whom President Donald Trump has declared unwelcome, began pouring into the Mexican border city of Tapachula on Sunday, setting up impromptu camps in public parks under heavy rain.

Many members of the caravan, exhausted from the hours-long trek on foot from the Guatemalan border, mostly ignored police offers to board buses heading to a migrant shelter because of suspicions they might be deported instead.

The migrants have defied threats by Trump that he will close the US-Mexico border if the caravan advances, as well as warnings from the Mexican government that they risk deportation if they cannot justify seeking asylum in Mexico.