Washington has previously said it won't seek to initiate contact with North Koreans attending the South Korean games, but it does want talks with Kim Jong-Un in an effort to get him to abandon his nuclear program.
Asked during a visit to Peru whether Pence might accept an invitation to meet the North Korea delegation, Tillerson -- who is pushing for a diplomatic solution to the crisis -- would not rule it out.
Pushed on whether that meat he was not saying "no," Tillerson replied: "We'll see, we'll see what happens."
Pence is visiting Alaska, Tokyo and Seoul before attending the opening ceremony in Pyeongchang on Friday.
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This is Pence's second visit to the region as vice president and comes as President Donald Trump's administration is working to put "maximum pressure" on the North Korean regime through diplomacy and sanctions.
Trump has repeatedly said he would not allow this to happen, and as both sides have traded warlike rhetoric, fears have grown that some spark could set off a devastating conflict.
But North and South Korea have also, at least temporarily, put aside their enmity to allow Pyongyang to send athletes to the Games, an opening that some see as an opportunity to push a negotiated settlement.