The US would reportedly be given the right to build military bases in the areas. The German FAZ writes that such an agreement would be similar to what Britain has in Cyprus.
President Donald Trump said on Wednesday that the parties had agreed on a "framework for a future agreement" regarding Greenland.
According to NATO, the framework focuses on the member states - and in particular the seven so-called Arctic allies, including Sweden - being responsible for the security of the Arctic.
Negotiations between Denmark, Greenland and the United States will focus on an assurance that Russia and China will never gain an economic or military foothold in Greenland, said defense alliance spokesperson Allison Hart, according to several news agencies.
Meanwhile, Dutch Prime Minister Mark Rutte said on Wednesday that he did not discuss the issue of Denmark's sovereignty over Greenland during his meeting with Donald Trump.
"We have a good agreement to really start working on these issues," Rutte said, repeating an earlier statement that a lot of work remains to be done to reach an actual agreement.
