Greenland's premier on Tuesday denounced President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE after he shared an edited picture depicting a Trump Tower on the semiautonomous Danish territory.

Kim Kielsen told The Associated Press during a meeting in Iceland featuring Nordic leaders that purchasing the territory “is not something to joke about."

I promise not to do this to Greenland! pic.twitter.com/03DdyVU6HA — Donald J. Trump (@realDonaldTrump) August 19, 2019

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Kielsen's comments came after Trump shared the image on Twitter late Monday amid discussion from his administration about purchasing Greenland, stating, "I promise not to do this to Greenland!"

Denmark's prime minister made similar remarks on Sunday after reports began to surface that Trump wanted his administration to look into a purchase of Greenland.

Mette Frederiksen said during a visit to Greenland that the idea was "absurd," adding that she "persistently" hoped "that this is not something that is seriously meant.”

“We are open for business, but we’re not for sale,” said Ane Lone Bagger, Greenland’s foreign minister.

Trump on Sunday told reporters that he found a purchase of Greenland "strategically" interesting. He also compared buying the territory, which is home to more than 50,000 people, to a “large real estate deal.”

“Strategically, for the United States, it would be nice. And we’re a big ally of Denmark, and we help Denmark, and we protect Denmark,” he said, adding that it was not a priority of his administration.

White House economic adviser Larry Kudlow Larry KudlowMORE backed Trump's assessment, saying Sunday that Greenland was a "strategic" place with "a lot of valuable minerals."

“The president, who knows a thing or two about buying real estate, wants to take a look,” he added.

Trump is set to visit Denmark in September. He's said that the visit has no link to his newfound interest in buying Greenland.