Billionaire Mark Cuban is leaving the door open for a potential presidential bid, according to a new report.

“We will see,” Cuban told Business Insider when the businessman and television personality was asked if he would run for president one day.

Cuban’s comments come after a Twitter battle with President Trump on Sunday morning over Cuban's fitness for the White House.

I know Mark Cuban well. He backed me big-time but I wasn't interested in taking all of his calls.He's not smart enough to run for president! — Donald J. Trump (@realDonaldTrump) February 12, 2017

"I know Mark Cuban well," Trump tweeted. "He backed me big-time but I wasn't interested in taking all of his calls. He's not smart enough to run for president!"

Cuban responded to Trump with a short “Lol,” then expanded further with a screenshot of emails he had sent to Trump before he was elected.

How soon they forget .... pic.twitter.com/VXcfnjj4qX — Mark Cuban (@mcuban) February 12, 2017

He also slammed Trump in a reply to another Twitter user.

"But isn't it better for all of us that he is tweeting rather than trying to govern?" he asked.

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Cuban and Trump have had a contentious relationship after Cuban backed Democratic nominee Hillary Clinton Hillary Diane Rodham ClintonBarr criticizes DOJ in speech declaring all agency power 'is invested in the attorney general' Virginia Democrat blasts Trump's 'appalling' remark about COVID-19 deaths in 'blue states' The Hill's Campaign Report: Biden asks if public can trust vaccine from Trump ahead of Election Day | Oklahoma health officials raised red flags before Trump rally MORE for president. The Sunday morning Twitter feud follows a New York Post story that cited Cuban as Trump’s “biggest fear” as a Republican or independent challenger in 2020.

Like Trump, Cuban is a billionaire businessman with stints on reality TV. Cuban is a frequent panelist on ABC’s “Shark Tank" and is the owner of the NBA's Dallas Mavericks.