The result mattered less than the political symbolism, however, as around 200 of North Korea's famed "army of beauties" charmed a crowd of 3,600 besotted locals with nostalgic oldies - and even broke out a Mexican wave.
But in their meeting Saturday, the South Korean president also asked North Korea to be amenable to talks with the United States, telling Kim Yo Jong that it was "urgent" for Pyongyang and Washington to start resolving their differences.
Outside, many locals, bundled up against the cold, wore the joint team's jersey with "KOREA" emblazoned across their chests and waved mini unification flags - a pale blue silhouette of the Korean peninsula.
This photo, taken February 10, 2018, shows President Moon Jae-in (C), Kim Yo-jong (L), the younger sister of North Korean leader Kim Jong-un, and Kim Yong-nam, the North's ceremonial head of state, before holding talks with the North's high-level delegation.
All eyes have been on Kim Yo Jong, who has rapidly risen up the ladder since her brother inherited power from their father. "The summit with Moon is the only way to present a united front with South Korea and therefore avoid global sanctions".
Trump, who has at times exchanged taunts and threats with Kim, said in early January after the first intra-Korean talks in over two years that the United States was willing to speak to North Korea "under the right circumstances", although it was far from clear whether this would pay dividends.
The Western media also focused a lot of attention on North Korea's cheerleaders, the so-called "army of beauties" deployed to present a positive image of North Korea.
A visit by Moon to the North would enable the first summit between leaders from the two Koreas since 2007, and would mark only the third inter-Korean summit to take place.
"Moon told me at the skating rink that he told [the North Koreans], 'You've got to talk to the Americans, ' " Pence said.
It said the two sides held "a comprehensive discussion. on the inter-Korean relations and various issues on the Korean peninsula in an amicable atmosphere", but did not say whether the North's weapons program was mentioned.
Kim Yo Jong Fascinates, And Puzzles, In South Korea
This story has been corrected to show that the North Korean delegation stayed at the Walkerhill, not Wakerhill, hotel. Pence also attended the Games opening ceremony but had no contact with the North Korean delegation.
South Korean Choi Yoon-seok, 21, had a hunch Kim would show up to Saturday's hockey game.
The personal invitation from Kim was delivered verbally by his younger sister, Kim Yo Jong, during talks and a lunch Moon hosted at the presidential Blue House in Seoul. Moon was trying to create a dialogue to advance peace but Pence went around the table and shook hands with everyone except Kim Yong Nam of North Korea.
They appeared in the VIP box at the Olympic opening ceremony Friday night.
But the vice president's team saw it differently.
Many members of the orchestra arrived at the eastern port city of Donghae on Tuesday aboard the North Korean ferry Mangyongbong-92, as an exemption to sanctions imposed in retaliation for the North's torpedoing of a South Korean Navy vessel in 2010. About 800 conservative protesters gathered in central Seoul to tear up photos of Kim Jong Un and condemn Moon for being too soft on North Korea.
There were South Koreans who agreed with Pence's stance.
Many analysts are skeptical about Kim Jong Un's motivations for this sudden outreach, especially as he continues to assert his desire to press ahead with his nuclear weapons program to fend off the "hostile" United States. It was built in the 1960s under the government of late anti-communist dictator Park Chung-hee as a luxury facility for USA troops stationed in South Korea.
Previous rounds of denuclearization talks, even when they ended in a deal, have soon collapsed when the Kim regime has breached the terms.
When the warmth and joy of the Olympics ends, North Korea will still be holding its nuclear arsenal tight and will very likely continue to manufacture and test intercontinental ballistic missiles. Kim Jong Un and Kim Yo Jong have the same mother, Ko Yong Hui.
He has used the Winter Olympics, which opened in the South Korean area of Pyeongchang on Friday, as a springboard for detente with North Korea.