The former US president has denied the director's claims that he was the one who insisted on appearing in the 1992 film in exchange for filming at his hotel.
The former US president said on his social media platform Truth Social that the film's production team was "begging me to have a cameo".
Trump said of the 1992 film: “They rented the Plaza Hotel in New York, which I owned at the time. I was too busy and didn't want to do it. They were very pleasant, but above all persistent.
I agreed, and the rest is history! The film was a huge success, and still is, especially at Christmas time. People call me every time it airs.”
The sequel to the 1990 comedy Home Alone, Home Alone 2 grossed $359m (£280m) and was the third highest-grossing film of 1992.
In 2020, Columbus, who directed both films, told Business Insider that Trump's film was a condition of being able to film inside the Plaza Hotel, above the usual fee.
"He asked for his part in the movie," said Columbus, who reported Trump as saying, "The only way you can use the Plaza is if I'm in the movie."
But Trump said on Truth Social this week: "Nothing could be further from the truth." He added that his appearance had given the film a considerable boost. “This performance helped make the film successful, but if they felt bullied, or didn't want me, why did they put me in and keep me there for over 30 years? Because I was and still am great about the movie, that's why! Just another Hollywood guy from the past looking for a quick fix of Trump publicity for himself!”
The Home Alone movies, in which Macaulay Culkin plays a young man who is accidentally abandoned by his family and must fight off thieves played by Joe Pesci and Daniel Stern, have become Christmas staples.
In a recent interview, Pesci recalled the experience of making the film as full of spontaneity and creativity. He also recalled the scene in which his character's hat is on fire.
In 2019, some Trump supporters complained when his film was removed from a segment of the film shown on TV in Canada. At the time, Trump said he suspected it was orchestrated by Canadian Prime Minister Justin Trudeau, amid a dispute between the two countries over trade tariffs.
A spokesperson for the CBC network denied this, saying the film was purchased for broadcast by the network and edited in 2014, and the Trump scene was one of several that were removed because they were "not integral to the plot." .
In 2021, Culkin said he was "sold" on the idea of digitally removing Trump from the film.
Trump was known for his appearances in movies and TV shows in the 80s and 90s. In 2017, Matt Damon supported Columbus' claim that Trump insisted on appearing in productions that wanted to feature his properties, telling the Hollywood Reporter that such films were often left out of the final cut.