Pyeongchang, South Korea (CNN) The South Korean President has been invited to travel to North Korea, following a formal invitation from the country's leader, Kim Jong Un, potentially setting up the first meeting of Korean leaders since 2007.

The invite, presented to South Korean President Moon Jae-in by Kim's younger sister, Kim Yo Jong, was delivered during a historic meeting between North and South Korean officials at Seoul's presidential palace Saturday, presidential spokesman Kim Eui-kyeom said.

Saturday's meeting, the most significant diplomatic encounter between the two sides in more than a decade, could now be surpassed should Moon accept Kim's invitation to visit Pyongyang later this year.

Moon responded to the invitation by suggesting the two countries "should accomplish this by creating the right conditions," adding that talks between North Korea and the United States were also needed, and requested that North Korea be more active in talking with the US, according to Kim Eui-kyeom.

Images from the lunch meeting at the Blue House, which was broadcast live on South Korean TV, showed Moon sat in front of Kim Yo Jong, rather than Kim Yong Nam, technically the more senior official present in the meeting and head of the North Korean delegation.

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