Greenland and Canada have long disagreed about whether the uninhabited rock between the countries, Hans Øy, is Canadian or Greenlandic.
So far, the negotiations have not led to any agreement. But now the parties will try again. Denmark, which governs Greenland's foreign policy, is negotiating counterpart with Canada.
Canada, Greenland and Denmark have chosen to post the next round of negotiations to New York, since all three nations are represented there during the UN General Assembly.
On Monday, the Greenlandic Minister for Foreign Affairs, Josef Motzfeldt, meets with Danish Foreign Minister Per Stig Møller, Canadian Foreign Minister Pierre Pettigrew.