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Mexico’s President has flat out denied that his country had any intention of paying for Donald Trump’s border wall.

President Enrique Pena Nieto hit out just hours after Mr Trump outlined his plan to build a wall along America’s border with Mexico and insisted it wouldn’t cost America a penny.

In a recorded address televised nationally, Mr Pena Nieto said: “I regret and reject the decision of the US to build the wall.

“Mexico does not believe in walls,” he added. “I've said time again; Mexico will not pay for any wall.”

Mr Pena Nieto didn’t say if he was considering cancelling his planned visit to Washington next week as a protest over Mr Trump’s executive order to begin building the wall “immediately”.

He ended his choreographed message by saying that Mexico doesn’t want to cut off its ties with the US as long as the relationship between the two countries is based on mutual respect.

"Mexico offers its friendship to the people of the United States and expresses its wish to arrive at agreements with its government, deals that will be in favour of Mexico and the Mexicans,” he said.

Meanwhile Mexico's former President, Vicente Fox, started using a hashtag #f***ingwall to insist his country would not pay for the construction.

Mr Trump’s promised crackdown on immigration began in earnest yesterday when he signed two executive orders to back up his campaign pledges to take action to keep illegal immigrants out of the country.

As well as cementing his determination to build a barrier along America’s southern border with Mexico, the President defunded so-called “sanctuary cities” like Los Angeles, New York and Chicago.

“A nation without borders is not a nation,” Mr Trump told Department of Homeland Security employees after signing the orders. “Beginning today the United States of America...gets back its borders.”

To combat the immigration “crisis,” he gave DHS the authority to hire another 5,000 border patrol officers and triple its roster of immigration enforcement agents.

Donald Trump Inauguration Day - In pictures 33 show all Donald Trump Inauguration Day - In pictures 1/33 Donald Trump is sworn in as the 45th president of the United States AP 2/33 US President Barack Obama (right) and First Lady Michelle Obama (left) welcome Preisdent-elect Donald Trump (second right) and his wife Melania to the White House in Washington Jim Watson/AFP/Getty Images 3/33 President Barack Obama stands at right as first lady Michelle Obama hugs President-elect Donald Trump at the White House in Washington Evan Vucci/AP 4/33 The presidential motorcade drives down Pennsylvania Ave towards the U.S. Capitol in Washington Joe Raedle/Getty Images 5/33 Former Secretary of State Hillary Clinton waves as she arrives with her husband former President Bill Clinton Rick Wilking/Reuters 6/33 People gather on the National Mall prior to the inauguration Patrick Smith/Getty Images 7/33 Donald Trump's children Ivanka Trump (L), Tiffany Trump, Donald Trump Jr, and Eric Trump arrive on the West Front of the U.S. Capitol in Washington lex Wong/Getty Images 8/33 US President Barack Obama (right) and First Lady Michelle Obama (second left) welcome Preisdent-elect Donald Trump (left) and his wife Melania (second right) to the White House in Washington Jim Watson/AFP/Getty Images 9/33 Members of the Mormon Tabernacle Choir in the seats on the West Front of the US Capitol several hours before Donald J. Trump is sworn in as the 45th President of the United States in Washington Jim Lo Scalzo/EPA 10/33 Tiffany Trump, Donald Trump, Jr., Ivanka Trump, Vanessa Trump and Jared Kushner arrive on the West Front of the U.S. Capitol Drew Angerer/Getty Images 11/33 Protesters chain themselves to an entry point prior at the inauguration of U.S. President-elect Donald Trump Bryan Woolston/Reuters 12/33 People begin to gfill in the National Mall a short time before Donald J. Trump is sworn in as the 45th President of the United States in Washington Jim Lo Scalzo/EPA 13/33 Supporters and protesters turn out for the Inauguration of President-Elect Donald Trump in Washington Theo Wargo/Getty Images 14/33 A man walks a dog in a Donald Trump costume carrying a doll depicting Russian President Vladimir Putin holding an US flag as they head to join a demonstration at the US embassy in central London Hayoung Jeon/EPA 15/33 President Elect Donald Trump's children Barron Trump (L), Tiffany Trump and Eric Trump arrive on the West Front of the U.S. Capitol in Washington Joe Raedle/Getty Images 16/33 President Barack Obama and first lady Michelle Obama greet President-elect Donald Trump at the White House in Washington Evan Vucci/AP 17/33 Former US President Jimmy Carter and First Lady Rosalynn Carter arrive for the Presidential Inauguration of Donald Trump at the US Capitol in Washington Saul Loeb/AFP/Getty Images 18/33 Demonstrators march on the street near a security checkpoint inaugural entrance Jose Luis Magana/AP 19/33 Former US Vice President Dick Cheney and his wife Lynne arrive at the US Capitol in Washington Saul Loeb/EPA 20/33 Demonstrators chant near a security checkpoint entrance to the inauguration, Friday, Jan. 20, 2017 in Washington, ahead of President-elect Donald Trump's inauguration Jose Luis Magana/AP 21/33 US Senator Ted Cruz arrives for the Presidential Inauguration of Donald Trump at the US Capitol in Washington Saul Loeb/AFP/Getty Images 22/33 Former US President George W. Bush and wife Laura Bush arrive John Angelillo/EPA 23/33 The statue of Civil War General and former US President Ulysses S. Grant faces the Washington Monument and the crowd gathering for the inauguration ceremonies to swear in Donald Trump as the 45th president of the United States at the U.S. Capitol in Washington Carlos Barria/Reuters 24/33 A military helicopter lands at the US Capitol Rob Carr/AFP/Getty Images 25/33 Protesters attack a man trying to pass at an entry point prior at the inauguration of U.S. President-elect Donald Trump in Washington Bryan Woolston/Reuters 26/33 President-elect Donald Trump and his wife Melania arrives for a church service at St. John's Episcopal Church across from the White House in Washington Alex Brandon/AP 27/33 Protesters chain themselves to an entry point prior at the inauguration of Donald Trump in Washington Bryan Woolston/Reuters 28/33 Vice President-elect Mike Pence and his wife Karen, arrives for a church service at St. John's Episcopal Church across from the White House in Washington Alex Brandon/AP 29/33 The sun begins to rise behind the Capitol dome several hours before Donald J. Trump takes the oath of office as the 45th President of the United States in Washington Andrew GombartAFP/Getty Images 30/33 Protesters move toward an entry point prior at the inauguration of U.S. President-elect Donald Trump Bryan Woolston/Reuters 31/33 The early morning sun lights up the Washington Monument as people gather on the National Mall prior to the inauguration of U.S. President-elect Donald Trump in Washington Kevin Lamarque/Reuters 32/33 Protesters chain themselves to an entry point Bryan Woolston/Reuters 33/33 US Vice President Joe Biden and his wife Dr. Jill Biden leave the White House for the final time as the nation prepares for the inauguration of President-elect Donald Trump in Washington Kevin Dietsch/EPA 1/33 Donald Trump is sworn in as the 45th president of the United States AP 2/33 US President Barack Obama (right) and First Lady Michelle Obama (left) welcome Preisdent-elect Donald Trump (second right) and his wife Melania to the White House in Washington Jim Watson/AFP/Getty Images 3/33 President Barack Obama stands at right as first lady Michelle Obama hugs President-elect Donald Trump at the White House in Washington Evan Vucci/AP 4/33 The presidential motorcade drives down Pennsylvania Ave towards the U.S. Capitol in Washington Joe Raedle/Getty Images 5/33 Former Secretary of State Hillary Clinton waves as she arrives with her husband former President Bill Clinton Rick Wilking/Reuters 6/33 People gather on the National Mall prior to the inauguration Patrick Smith/Getty Images 7/33 Donald Trump's children Ivanka Trump (L), Tiffany Trump, Donald Trump Jr, and Eric Trump arrive on the West Front of the U.S. Capitol in Washington lex Wong/Getty Images 8/33 US President Barack Obama (right) and First Lady Michelle Obama (second left) welcome Preisdent-elect Donald Trump (left) and his wife Melania (second right) to the White House in Washington Jim Watson/AFP/Getty Images 9/33 Members of the Mormon Tabernacle Choir in the seats on the West Front of the US Capitol several hours before Donald J. Trump is sworn in as the 45th President of the United States in Washington Jim Lo Scalzo/EPA 10/33 Tiffany Trump, Donald Trump, Jr., Ivanka Trump, Vanessa Trump and Jared Kushner arrive on the West Front of the U.S. Capitol Drew Angerer/Getty Images 11/33 Protesters chain themselves to an entry point prior at the inauguration of U.S. President-elect Donald Trump Bryan Woolston/Reuters 12/33 People begin to gfill in the National Mall a short time before Donald J. Trump is sworn in as the 45th President of the United States in Washington Jim Lo Scalzo/EPA 13/33 Supporters and protesters turn out for the Inauguration of President-Elect Donald Trump in Washington Theo Wargo/Getty Images 14/33 A man walks a dog in a Donald Trump costume carrying a doll depicting Russian President Vladimir Putin holding an US flag as they head to join a demonstration at the US embassy in central London Hayoung Jeon/EPA 15/33 President Elect Donald Trump's children Barron Trump (L), Tiffany Trump and Eric Trump arrive on the West Front of the U.S. Capitol in Washington Joe Raedle/Getty Images 16/33 President Barack Obama and first lady Michelle Obama greet President-elect Donald Trump at the White House in Washington Evan Vucci/AP 17/33 Former US President Jimmy Carter and First Lady Rosalynn Carter arrive for the Presidential Inauguration of Donald Trump at the US Capitol in Washington Saul Loeb/AFP/Getty Images 18/33 Demonstrators march on the street near a security checkpoint inaugural entrance Jose Luis Magana/AP 19/33 Former US Vice President Dick Cheney and his wife Lynne arrive at the US Capitol in Washington Saul Loeb/EPA 20/33 Demonstrators chant near a security checkpoint entrance to the inauguration, Friday, Jan. 20, 2017 in Washington, ahead of President-elect Donald Trump's inauguration Jose Luis Magana/AP 21/33 US Senator Ted Cruz arrives for the Presidential Inauguration of Donald Trump at the US Capitol in Washington Saul Loeb/AFP/Getty Images 22/33 Former US President George W. Bush and wife Laura Bush arrive John Angelillo/EPA 23/33 The statue of Civil War General and former US President Ulysses S. Grant faces the Washington Monument and the crowd gathering for the inauguration ceremonies to swear in Donald Trump as the 45th president of the United States at the U.S. Capitol in Washington Carlos Barria/Reuters 24/33 A military helicopter lands at the US Capitol Rob Carr/AFP/Getty Images 25/33 Protesters attack a man trying to pass at an entry point prior at the inauguration of U.S. President-elect Donald Trump in Washington Bryan Woolston/Reuters 26/33 President-elect Donald Trump and his wife Melania arrives for a church service at St. John's Episcopal Church across from the White House in Washington Alex Brandon/AP 27/33 Protesters chain themselves to an entry point prior at the inauguration of Donald Trump in Washington Bryan Woolston/Reuters 28/33 Vice President-elect Mike Pence and his wife Karen, arrives for a church service at St. John's Episcopal Church across from the White House in Washington Alex Brandon/AP 29/33 The sun begins to rise behind the Capitol dome several hours before Donald J. Trump takes the oath of office as the 45th President of the United States in Washington Andrew GombartAFP/Getty Images 30/33 Protesters move toward an entry point prior at the inauguration of U.S. President-elect Donald Trump Bryan Woolston/Reuters 31/33 The early morning sun lights up the Washington Monument as people gather on the National Mall prior to the inauguration of U.S. President-elect Donald Trump in Washington Kevin Lamarque/Reuters 32/33 Protesters chain themselves to an entry point Bryan Woolston/Reuters 33/33 US Vice President Joe Biden and his wife Dr. Jill Biden leave the White House for the final time as the nation prepares for the inauguration of President-elect Donald Trump in Washington Kevin Dietsch/EPA

For “too long” immigration official and border patrol agents 'haven't been allowed to properly do their jobs, he said, adding: “That's all about to change. And I'm very happy about it, and you're happy about it.”

Immigration laws will be “enforced and enforced strongly,” he added.

He said later that he expects the US relationship with Mexico to improve as a result of his actions because the “unprecedented surge” of illegal immigrants is bad for both countries.

“It's going to be very, very good for Mexico,” he said of his plans. He added that he's looking forward to meeting with the Mexican president next week for the first time as President - and the second time since the start of his campaign - to discuss the measures.

“I want to emphasize that we will be working in particular with our friends in Mexico to improve safety and economic opportunity on both sides of the border,” he maintained. “I have deep admiration for the people of Mexico.”

To get the wall project off the ground, Mr Trump said the American taxpayer will be footing the bill for the border wall “for the sake of speed.”

“We're going to be starting those negotiations relatively soon. And we will be, in a form, reimbursed by Mexico,” he told ABC News in an interview.