President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE said in a new interview that he considers former Vice President Joe Biden Joe BidenBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Democratic groups using Bloomberg money to launch M in Spanish language ads in Florida Harris faces pivotal moment with Supreme Court battle MORE his "dream" opponent in the 2020 presidential campaign.

Trump told CBS News's Jeff Glor in an interview that aired early Thursday that he would like to run against any of the Democrats who appear poised for a White House bid, but took the opportunity to attack Biden in particular.

"I dream about Biden. That's a dream," Trump said. "Look, Joe Biden ran three times. He never got more than 1 percent and President Obama took him out of the garbage heap, and everybody was shocked that he did. I'd love to have it be Biden."

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"I think I'd like to have any one of those people that we're talking about," he continued. "You know, there's probably – the group of seven or eight right now. I'd really like to – I'd like to run against any one of them, but Biden never by himself could never do anything."

Trump and the former vice president have clashed periodically in the last couple of years. The two exchanged barbs earlier this year after Biden said he would have "beat the hell out of" Trump in high school over his degrading comments about women.

Biden most recently criticized Trump for his performance during last week's NATO summit and at this week's meeting with Russian President Vladimir Putin.

Biden launched presidential campaigns in 1988 and 2008, but quickly dropped out of the race each time.

While he ultimately decided against a White House bid in 2016, Biden, 75, has not yet decided if he's going to run for president in 2020.

He has said he may decide by the end of the year.

A poll released in late June found almost one-third of registered Democratic voters back Biden for the party’s 2020 presidential nomination, the highest support in the survey for any candidate.