Actress Bette Midler wrote: 'Trump wants to buy Greenland? Let』s make him find it on a map first.'
A former national press secretary to Hillary Clinton jokingly compared it to Trump's bold campaign promise that Mexico would pay for a border wall.
'Donald Trump is going to buy Greenland and Mexico is going to pay for it,' wrote Jesse Ferguson.
Meanwhile writer Jon Gabriel posted an image of a town in Greenland with a huge golden Trump Tower photoshopped in, with the caption: 'Greenland in 10 years.'
One confused Twitter user questioned: 'We...might be buying Greenland?' while another posted a meme with the caption: 'Me seeing Greenland trending. "I wonder what this is abou..."'
One Twitter user wrote alongside a meme of Homer Simpson slowly retreating into a bush: 'BREAKING NEWS: Denmark to relocate Greenland in undisclosed location due to safety concerns.'