Former Vice President Joe Biden Joe BidenThe Memo: Warning signs flash for Trump on debates Senate Republicans signal openness to working with Biden National postal mail handlers union endorses Biden MORE on Saturday brushed off President Trump Donald John TrumpBarr criticizes DOJ in speech declaring all agency power 'is invested in the attorney general' Military leaders asked about using heat ray on protesters outside White House: report Powell warns failure to reach COVID-19 deal could 'scar and damage' economy MORE's claim other presidents wanted to build a wall, saying "come on."

"I can't think of a single one who said that," said Biden, who is considered to be a potential 2020 candidate.

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Biden then listed presidents who would not want a wall, starting with former President Carter, and said "come on."

President Donald Trump said other presidents have told him "they wished they had built a wall." Former Vice President Joe Biden can't think of a single one.https://t.co/q1hTBws4eI pic.twitter.com/H3yUp59Bpm — Circa (@Circa) January 5, 2019

Trump said to reporters at the Rose Garden Friday that former presidents have told him they wished they had built a wall themselves while they were in office.

There is currently a partial government shutdown over whether to provide the White House's demanded $5 billion in funding for a border wall in a bill to reopen the government. The shutdown entered its 15th day Saturday.