Danish Prime Minister Mette Frederiksen is in Greenland for a three-day trip aimed at building trust and cooperation with Greenlandic officials at a time when the Trump administration is seeking control of the vast Arctic territory.

Greenland's mineral riches are an increasing focus of the U.S. and, as the vice president recently warned, America's rivals.

We do not belong to anyone else,” Prime Minister Jens-Frederik Nielsen said in response to President Trump’s latest assertion that he wants to annex the territory.

The United States will not take over Greenland, Danish Prime Minister Mette Frederiksen said after arriving on Wednesday for a three-day visit to the semi-autonomous Danish island.

The prime minister of Greenland pushed back Sunday against assertions by Trump that America will take control of the island territory.

Jens-Frederik Nielsen, prime minister of Greenland, rejected U.S. President Donald Trump's prediction that the U.S. will eventually control the territory. Trump has said controlling Greenland is of strategic importance to the U.S. for national security and trade.

Danish officials have repeatedly told President Donald Trump that Greenland is "not for sale." Trump doesn't seem to care. The president has continued to promote his vision for taking over Greenland,

Politicians in Greenland and Denmark have firmly rejected the idea, but the U.S. administration appears undeterred, so how could a U.S. takeover play out?