Donald Trump renewed his vow to crack down on illegal immigration, saying on Wednesday that there would be “no amnesty”, in a speech that showed no sign of the Republican presidential candidate softening a stance that has hurt him with Latinos.

In a speech in Phoenix that came immediately after his return to the US from a meeting with the Mexican president, Mr Trump said he would vigorously enforce all US immigration laws, and start building a wall on the US-Mexico border on his first day in the White House.

“On day one, we will begin working on an impenetrable physical wall on the southern border,” Mr Trump said. “We will use the best technology, including above-and-below-ground sensors, towers, aerial surveillance and manpower to supplement the wall, find and dislocate tunnels, and keep out the criminal cartels, and Mexico will pay for the wall.”