The MSNBC host promised viewers "exclusive video" of the meeting but "accidentally" rolled the wrong clip on "The 11th Hour."
"Look around and look hard, because you can be a part of a great national effort to find the president's health-care plan," the newscaster joked. "We know it's out there because he told us."
During a Thursday broadcast of 'The 11th Hour,' Williams and guest Mara Gay cited a factually inaccurate tweet that criticized Bloomberg for not sharing his wealth with every living American.
After Wednesday's Senate session, Barack Obama's former campaign manager said Trump defenders "are basically rewriting 200 years of history."
Brian Williams, of the Normal Police Department, is also accused of attempting to hand back the money to victim's relative.
Frank Figliuzzi, the former assistant director for counterintelligence at the FBI, said he believed Mueller was set to issue indictments in the investigation of alleged Russian interference in the 2016 election, which could indicate what he might have on the president.
Tuesday marks the former anchor's return to TV since he was suspended in February.
The newsman admitted to wanting to "appear better" than he was.
Brian Williams was suspended without pay in February for exaggerating his experiencse.
How much do you need to trust the man reading a teleprompter?
Brian Williams decides to step aside for several days amid a probe of his reporting.