More than two million people have watched the videos and they have been shared more than 5000 times.
Bell has become known as a kind of projectionist provocateur and something of a "hit-and-run editorial writer," as David Montgomery described him last year in The Washington Post.
The alleged expletive emerged out of a Thursday meeting about immigration reform between Trump and legislators.
After lawmakers raised the issue of protections for immigrants from African nations, Haiti and El Salvador, the president reportedly demanded to know why the US should accept immigrants from "shithole countries", rather than - for instance - wealthy and overwhelmingly white Norway.
The White House initially did not deny that Trump made the remarks, but Trump later disputed the reports on Twitter.
"The language used by me at the DACA meeting was tough, but this was not the language used. What was really tough was the outlandish proposal made - a big setback for DACA!" he tweeted on Friday.
But Democratic Senator Richard Durbin said Trump had specifically asked: 'Do we need more Haitians?' before launching into a diatribe about African immigration.
Trump then "said things which were hate-filled, vile and racist," Durbin said, adding that "shithole" was "the exact word used by the president, not just once but repeatedly."