By Soren Jeppesen and Stine Jacobsen COPENHAGEN, Jan 23 (Reuters) - Denmark's Prime Minister Mette Frederiksen said on Friday she had agreed with NATO chief Mark Rutte that the alliance needs to boost security in the Arctic following weeks of turmoil over U.

President Donald Trump’s Wednesday speech at the World Economic Forum in Switzerland was filled with inaccurate claims – notably including false and misleading statements about NATO and Greenland, the self-governing Danish territory he is pushing for the US to acquire.

President Trump de-escalated his threats to seize Greenland and hammer Europe with new tariffs Wednesday, but some lawmakers in both parties fear the damage to NATO and the transatlantic alliance has already been done.

The drills are slated to get underway against a backdrop of uncertainty about the future of relations between the U.S. and its longstanding allies.

Negotiations between the U.S., Denmark and Greenland will continue, a NATO spokesperson said Wednesday, following President Trump’s announcement that he had reached the “framework of a future deal” with NATO Secretary-General Mark Rutte.

The US president said allied troops had "stayed a little back" during the war in Afghanistan.

President Donald Trump's push to acquire Greenland has fueled concerns about U.S. reliability as NATO appears increasingly divided.