Millions of immigrants living in the United States of America faces possible deportation as one of stiff measures by President Donald Trump's administration to curb rising numbers of undocumented immigrants, Washington Post has reported.

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Trump, who succeeded Kenyan-American President Barack Obama, on Wednesday signed and  executive order that would see construction of a wall along Mexico-US border.

"The move will improve safety in both countries," Trump said after signing the orders.

"A nation without borders is not a nation. Starting today, the US gets back its borders," added the Republican President.

Condemning the directive, Mexican President Enrique Pena said his country will not pay for the construction of multi billion war as suggested by Trump.

'Mexico does not believe in walls. I have said it time and again that Mexico will not pay the wall," he said.

The tough speaking president is also expected to sign more executive orders that would see the US curb entry of refugees from middle East and Africa to america and is also expected to order deportation of millions of undocumented immigrants.