Greenland is not for sale, Danish Prime Minister Mette Fredriksen said on Monday, after U.S. Secretary of State Marco Rubio said last week that President Donald Trump's interest in acquiring the island was "not a joke".

Greenland is a self-ruling territory in the Danish kingdom, which means policymakers in Nuuk control most domestic issues. Denmark, which oversees defense and security policy on the mineral-rich Arctic island, is injecting 14.6 billion kroner ($2 billion) to ramp up defenses.

The US could be allowed to step up its military presence in Greenland, the prime minister of Denmark has said.

At the end of the interview, Qarsoq Høegh-Dam, a top official with the Naleraq party and an adviser to Olsen, popped in to say hello. Høegh-Dam is a gregarious politico, of a familiar sort you often find in insular government towns. He said he was trying to organize a “watch party” for Trump’s inauguration.