(CNN) President Donald Trump said Friday that a former president had commended him for his commitment to securing funds to build a wall along the nation's southern border.

However, none of the four living former presidents have said they told Trump they wished they had built the wall.

In a news conference Friday, Trump suggested that at least one prior commander in chief had agreed with his desire to build a wall.

"This should have been done by all of the presidents that preceded me," Trump said. "And they all know it. Some of them have told me that we should have done it."

But his predecessors have denied such a conversation.

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