Denmark called on Thursday for "constructive" talks over Greenland that respect the territorial integrity of the EU and NATO member.
"We can negotiate all political aspects: security, investment, the economy. But we cannot negotiate our sovereignty. I have been informed that this has not been the case," Prime Minister Mette Frederiksen said in a statement.
The comments came after US President Donald Trump abruptly announced he was scrapping tariffs against Europe and ruling out military action to take Greenland from Denmark.
The agreement, he told reporters at the World Economic Forum in Davos, was negotiated with NATO Secretary-General Mark Rutte.
Rutte said the subject of Greenland's sovereignty "did not come up" in his talks with Trump.
Frederiksen said she spoke with Rutte before and after his meeting with Trump in Davos.
"The Kingdom of Denmark wishes to continue a constructive dialogue with its allies on ways to strengthen security in the Arctic, including the US Golden Dome, provided that this is done with respect for our territorial integrity," she said.