Washington (CNN) President Donald Trump on Monday suggested he'd like to hold his potential meeting with North Korean leader Kim Jong Un near the border of North and South Korea, his first public suggestion of a venue amid the hotly watched deliberations over where to hold the historic summit.

"Numerous countries are being considered for the MEETING, but would Peace House/Freedom House, on the Border of North & South Korea, be a more Representative, Important and Lasting site than a third party country? Just asking!" Trump tweeted.

Numerous countries are being considered for the MEETING, but would Peace House/Freedom House, on the Border of North & South Korea, be a more Representative, Important and Lasting site than a third party country? Just asking! — Donald J. Trump (@realDonaldTrump) April 30, 2018

At a joint news conference with Nigerian President Muhammadu Buhari Monday afternoon, Trump told reporters that the location proposal has had mixed reception.

"I think that some people maybe don't like the look of that and some people like it very much. I threw it out today as an idea," Trump said.

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