Donald J. Trump and his allies are trying to recreate a moment that resonated deeply with his supporters in the 2016 campaign: when Hillary Clinton referred to Trump supporters as a “basket of deplorables.”

On Tuesday, it was President Biden who provided the ammunition, appearing to call Trump supporters “garbage” while talking to Latino allies by video.

“Just the other day, a speaker at his rally called Puerto Rico a ‘floating island of garbage,’” Mr. Biden said, adding what sounded like, “The only garbage I see floating out there is his supporters — his, his demonization of Latinos is unconscionable, and it’s un-American.” The White House said that what Mr. Biden had said was “his supporter’s demonization,” referring only to the comic who initially insulted Puerto Ricans with an offensive joke at Mr. Trump’s New York rally on Sunday.

Mr. Trump’s allies insisted the meaning was clear.

Within minutes of the clip of Mr. Biden’s remarks going viral on social media on Tuesday night, Senator Marco Rubio of Florida addressed Mr. Trump’s rally in Allentown, Pa., and informed the crowd of Mr. Biden’s statement.

“I have breaking news for you, Mr. President — you may not have heard this,” Mr. Rubio told the audience after Mr. Trump had called him up to the stage and stood next to him. “Just moments ago, Joe Biden stated that our supporters are garbage — are garbage.”

Mr. Rubio added, as the crowd booed and Mr. Trump shook his head: “He’s talking about the Border Patrol. He’s talking about nurses. He’s talking about teachers. He’s talking about everyday Americans who love their country and want to dream big again and support you, Mr. President.”