Trump seemed to be talking about a photo published last month by the National Enquirer that shows Oswald and another man distributing pro-Castro leaflets in New Orleans in 1963. The tabloid claims that the second man is Rafael Cruz, the Republican presidential candidate's Cuban-born father, an explosive accusation that has not been corroborated, according to the Miami Herald. At the time, the Cruz campaign told the Miami Herald: “The story is false; that is not Rafael in the picture.”
Trump's timeline of this explosive accusation was rather unclear; he seemed to refer to an alleged meeting that happened before Kennedy's assassination on Nov. 22, 1963, and Oswald's death two days later. Trump later added: "I mean, what was he doing with Lee Harvey Oswald shortly before the death, before the shooting? It's horrible."
Cruz's campaign quickly denounced Trump's comments Tuesday.
"Trump is detached from reality, and his false, cheap, meaningless comments every day indicate his desperation to get attention and willingness to say anything to do so," spokeswoman Catherine Frazier said in a statement. "We are campaigning on jobs freedom and security while Trump campaigns on false tabloid garbage. And the media is willfully enabling him to cheapen the value of our democratic process."
Trump suggested the Oswald-Cruz connection when asked by one of the Fox News hosts about Rafael Cruz aggressively reaching out to evangelical voters in Indiana on behalf of his son. The father recently said that not electing his son could lead to "the destruction of America." Trump said that "it is a disgrace" and "absolutely horrible" that Cruz's father is allowed to make such comments.