Donald Trump claims he could beat Oprah Winfrey in a presidential election.
The idea that media mogul Winfrey could run for the White House was sparked following her speech at the Golden Globe Awards in LA.
Friends said private discussions had been ongoing for months, adding that she was “actively thinking” about running for President.
Mr Trump said he did not think the actress and talk show host would run.
But he added: “Yeah, I’ll beat Oprah. Oprah would be a lot of fun.
“I know her very well. You know, I did one of her last shows. She had Donald Trump, this was before politics, her last week. And she had Donald Trump and my family, it was very nice.
“No, I like Oprah, I don’t think she’s gonna run. I don’t think she’s gonna run. I know her very well.”
After accepting the Cecil B DeMille award on Sunday night, Winfrey told the story of a black woman, Recy Taylor, who was raped by six white men in Alabama in 1944.
An all-male jury refused to indict her attackers and she died 10 days ago, shortly before her 98th birthday, never receiving justice.
On an evening when women at the awards show wore black in solidarity with those who have suffered sexual harassment, Winfrey, 63, said: “She (Ms Taylor) lived as we all have lived – too many years in a culture broken by brutally powerful men.
“For too long, women have not been heard or believed if they dared to speak their truth to the power of those men, but their time is up.”
Shortly afterwards, the hashtags #Oprahforpresident and #Oprah2020 began trending on Twitter.
Mr Trump’s daughter, Ivanka, tweeted her support for Winfrey – though not necessarily politically.
She wrote: “Just saw @Oprah’s empowering and inspiring speech at last night’s #GoldenGlobes. Let’s all come together, women & men, & say #TIMESUP! UNITED.”