After the invitation was conveyed, a Blue House official said local authorities are now planning what message Moon will send to Kim Jong-un, and how he will send it, once the PyeongChang Winter Olympic Games wrap up later this month.
The United States and South Korea have agreed on terms for further diplomatic engagement with North Korea, first with Seoul and then possibly leading to direct talks with Washington without pre-conditions, Vice President Mike Pence said in a newspaper interview published on Sunday.
He said the Koreas should create an environment so that a summit could take place amd said there was a need of a quick resumption of dialogue between North Korea and the US.
However, South Korea has been more willing to re-engage with the North than its old USA war ally, which wants Seoul to keep piling diplomatic and economic pressure on its neighbor. Jo Yong Sam, department director general of North Korea's foreign ministry, said Thursday the country had never "begged the USA for dialogue" and wasn't about to start now.
Moon's office says Moon, sister Kim Yo Jong and North Korea's nominal head of state Kim Yong Nam are at the Kwandong Hockey Center Saturday to watch the game.
"By sending the sister to South Korea and seeking a visit by the president, North Korea is probably trying to give the impression that it's taking the lead on dialogue", another source close to the government said.
It is rare for the North's official media to refer to the South's leader as president, usually describing them as chief executive or similar, and even more unusual for a picture of them to be shown.
Any meeting would represent a diplomatic coup for Moon, who swept to power past year on a policy of engaging more with the reclusive North.
Taekwondo athletes from North and South Korea produced a stunning demonstration in Gangwon as sporting diplomacy took center stage alongside kicking, screaming and flying planks of wood on Saturday.
Jong Su-Hyon from the Democratic People's Republic of Korea (DPRK) and South Korean forward Han Soo-jin contributed the team's two most aggressive attempts in the whole game, however their efforts were in vain as Jong's shot was blocked by Swiss goalie Florence Schelling, while Han's hit the net roof.
Based on that assurance, Pence was cited as saying he felt confident he could endorse post-Olympic engagement with Pyongyang.
Some people tried to burn the North Korean national flag, but were contained by police. The last member of the Kim family to enter South Korea was Kim Il-sung, North Korea's founder, in 1950, Chinese news agency Xinhua recalled. South Korean President has responded to the offer positively as reported by Korean Joongang Daily.