More recently, Trump has softened his approach, telling South Korean President Moon Jae-in on a recent phone call of "his openness to holding talks between the USA and North Korea at the appropriate time, under the right circumstances", according to the White House.
Vice President Mike Pence arrived in Japan late Tuesday en route to the games where he will lead a delegation to the opening ceremony, along with the top USA general in South Korea and more diplomatic and military officials.
"We'll see what happens", Tillerson said Monday while traveling in Peru when asked if the administration would accept an invitation from North Korean officials to meet in South Korea.
"Meanwhile, he asserted that he would not accept the demand of the South Korean authorities for additional steps related to the "agreement" on the issue of sexual slavery for the Imperial Japanese Army", said the official daily of the ruling Workers' Party of Korea.
Pence will also visit a memorial for 46 South Korean sailors killed in 2010 in the sinking of a warship that Seoul blamed on a North Korean torpedo attack.
"Some have canceled their ticket for the opening ceremony", Lee said.
South Korean soldiers are testing their tolerance for the cold and snow. More members of the delegation may be announced in the coming days.
However, there are tensions between US scepticism and the optimism of South Korean President Moon Jae-in, who wants to use the Games to improve relations with the North and open the door to eventual talks on its weapons programmes.
"A message was being sent", one official said of the talking point.
Trump and other senior officials have repeatedly said that time is running out before North Korea gains the capability to strike the US mainland with a nuclear-tipped intercontinental ballistic missile.
Pence arrived Tuesday in Japan, where he will meet with Prime Minster Shinzo Abe and US service members.
A North Korean ferry, taking advantage of a rare sanctions exemption from Seoul, arrived in the South on Tuesday, carrying a 140-strong orchestra which will perform near Pyeongchang and in the capital, Seoul.
North Korea's Rodong Sinmun carried an article with a photo on Tuesday saying the delegation left Pyongyang the previous day.
"This is the intolerable, politically motivated provocation and tyrannical blackmail.", it said in a commentary.