Nielsen does not know exactly what US President Donald Trump and Dutch Prime Minister Mark Rutte have agreed on, he says at an international press conference in Nuuk, Greenland.
But he states that only Greenland and Denmark have the mandate to negotiate over Greenland - words echoed earlier by Danish Prime Minister Mette Frederiksen.
The Greenlandic government is happy to engage in dialogue with outside parties, he says, and is open to negotiations "on many issues." But the island's sovereignty is a red line.
No one may violate it.
However, he would like to see an increased military presence in Greenland.
We want to increase security in the Arctic with important initiatives, including a permanent NATO force in Greenland.
He dodges questions about both Donald Trump's plans to build a "golden dome" - as a defense against air attacks - and the president's remarks about the US gaining access to minerals. But he says that Trump's withdrawal of his military threat against Greenland is welcome, especially after "unacceptable rhetoric."
Until last night, we couldn't rule anything out.
Despite all the words, nothing has changed, he notes during the well-attended press conference, attended by many of the world's major media outlets.
"I think everyone who has ever set foot in Greenland knows what our position is. But I will say it again: Greenland wants to remain part of the Kingdom of Denmark," says Nielsen.
