The party leaders will be informed about the government's position regarding the latest developments during the evening, according to sources to the newspaper Berlingske and TV2.
Prime Minister Mette Frederiksen writes on social media that she met Greenland's Prime Minister Múte Bourup Egede on Wednesday and had phone calls with several European leaders.
"It's not everything that can be said publicly, but you can be sure that the government is doing everything we can to protect Denmark's – and the Danish realm's – interests," writes the Prime Minister.
"Must keep a cool head"
After a meeting with King Frederik, Múte Bourup Egede stated that Trump's outburst is worrying, but that it's important that "we as a nation don't act hastily".
I can understand that many of our citizens are worried. I have full understanding that citizens need to reflect on such serious statements. That's why I think we must stand united. That's where our strength lies, he says to the Greenlandic radio station KNR.
Denmark's Foreign Minister Lars Løkke Rasmussen is on the same track – and stated earlier on Wednesday that the country despite Trump's statements is not in any diplomatic crisis.
We must keep a cool head, he said earlier on Wednesday.
At a press conference, he emphasized that he looks forward to cooperating with Trump on security policy challenges.
I perceive that we have a president who is on his way into the White House and who has a sharper focus on the Arctic. That I can understand that he has. We have that too from the Danish side and within the NATO circle, said Løkke Rasmussen.
Seeking cooperation – not division
France's Foreign Minister Jean-Noel Barrot has, together with other European politicians, reacted strongly to Donald Trump's threat to Denmark with tariffs if the country doesn't comply with his terms. The US president-elect has also warned that a military intervention is not ruled out.
I'm very glad for the statement from my French colleague that deals with European solidarity in relation to the division that may arise across the Atlantic, but we're not seeking division, we're seeking cooperation, says Løkke Rasmussen.
Greenland belongs to Denmark but has had extensive self-governance for several decades.