U.S. President Donald Trump confirmed Sunday that an advance team of veteran American diplomats is conducting talks with North Korean officials at the border between the two Koreas as both the U.S. and the North work to salvage a possible leaders' summit — a push that faces a number of daunting challenges, analysts say.

"Our United States team has arrived in North Korea to make arrangements for the Summit between Kim Jong Un and myself," Trump wrote Sunday on Twitter. "I truly believe North Korea has brilliant potential and will be a great economic and financial Nation one day. Kim Jong Un agrees with me on this. It will happen!"

The State Department and South Korea's Foreign Ministry said earlier in the day that the U.S. delegation was holding a rare meeting with North Korean officials on their side of the truce village of Panmunjom, which straddles the border inside the heavily fortified Demilitarized Zone (DMZ).