The move to bring the two nations together for the ice hockey tournament has not been universally popular in the Winter Olympic host nation, while it almost collapsed on the eve of the Games when North Korea threatened to withdraw following comments made by United States Vice-President Mike Pence.
In addition to Moon and Kim's sister Kim Yo-jong, the game was attended by Kim Yong-nam, North Korean titular head of state, and International Olympic Committee (IOC) President Thomas Bach.
Lee made the remark during lunch with a high-level North Korean delegation, including the North Korean leader's sister and special envoy, Kim Yo-jong, and the country's ceremonial head of state, Kim Yong-nam.
"Welcome, guests from Pyongyang!" says the flier, seemingly talking to the 280 people of the North Korean team that traveled to take part in the games.
The opening ceremony for the 2018 Winter Olympics aired last night, February 9, and amid the reactions to the event's music, the return of Tonga's shirtless flag-bearer, and the emerging memes, some people are calling attention to Vice President Mike Pence's behavior in the stands.
Any meeting would represent a diplomatic coup for Moon, who swept to power a year ago on a policy of engaging more with the reclusive North and has pushed for a diplomatic solution to the standoff over North Korea's nuclear and missile program.
Also at that game: the famed cheer squad from North Korea - more than 100 identically dressed women who sing, perform choreographed moves and cheer on their team. Moon's spokesman said the meeting at the Blue House was held in a "friendly" mood. A Cheong Wa Dae official said, "The conditions refer to dialogue between Pyongyang and Washington".
North Korea's state media also sharply criticized Pence.
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Past "charm offensives" have been interpreted as North Korea trying to recoup from crippling sanctions on their nuclear program, or trying to drive a wedge between Seoul and its USA ally.
The response was seen as meaning that there should first be progress on efforts to resolve the North Korean nuclear standoff, such as talks between the United Sates and the North, before what would be a third inter-Korean summit takes place.
However, South Korea's main opposition party warned any talks between the two Koreas where the scrapping of North Korea's nuclear programme was not a precondition would only "benefit the enemy". Pence asked Moon for his idea of how this engagement could be different.
This has exposed the gaps between Seoul and Washington in how to deal with North Korea.
The younger Kim delivered the DPRK leader's message, saying the DPRK leader is willing to meet President Moon at an earliest possible date.
He also did not shake hands with Kim Yong Nam while making a brief appearance at a leaders' reception ahead of the ceremony-although Japanese Prime Minister Shinzo Abe, whose country is also regularly threatened by Pyongyang, did so, while exchanging pleasantries with the North Korean.
Her job is to pump out propaganda both venerating her brother and the North Korean state and discrediting enemies. The U.S.is wise to the ruse.
Nothing has been settled on any trip north by South Korean President Moon Jae-in. But its debut against Switzerland, which won bronze in the 2014 Olympics, had historic significance and symbolized fledgling unity between the rivals split along the world's most heavily fortified border. Afterwards, I made three more attempts, but every time I was forced to be sent back to North Korea.