South Korean President Moon Jae-in is scheduled to meet with North Korean leader Kim Jong-un will meet for the first time on 27 April.

South Korea will entertain the idea of formalizing a peace treaty with North Korea, according to a report by The Guardian citing Seoul officials.

Head of South Korea’s presidential national security office, Chung Eui-yong, said Seoul and Washington were exploring several options to reward the North for agreeing to denuclearization.

“We are discussing how we could remove the security concerns held by North Korea,” Chung was quoted as saying by Yonhap news agency. “We have also held in-depth discussions on how we could guarantee the North’s bright future should the North make the right decision.”

South Korean President Moon Jae-in is scheduled to meet with North Korean leader Kim Jong-un for the first time on April 27.

U.S. President Donald Trump said in a recent press conference: “People don’t realize the Korean War has not ended. It’s going on right now. And they are discussing an end to the war. Subject to a deal they have my blessing and they do have my blessing to discuss that.”

South Korea and a U.S.-led United Nations force are technically still at war with North Korea after the Korean War ended with a truce and not a peace treaty. 

“A peace treaty should be signed in the inter-Korean summit so that we can build peace and ensure peaceful coexistence”, South Korean Cultural Minister Do Jong-When told reporters, according to the Financial Times.

Trump added that the discussion between the two Koreas would be “a great chance to solve a world problem.” The U.S. head of state told reporters that the United States was engaged in ongoing “direct talks at very high levels” with Pyongyang, adding that “North Korea is coming along” and predicting a summit by June.

“We’ll be having discussions with Kim Jong Un very soon”, the U.S. president said. “That will be taking place probably in early June or before that assuming things go well. It’s possible things won’t go well and we won’t have the meetings and we’ll just continue to go on this very strong path we have taken.”

Seoul officials are adamant that negotiating a peace treaty to replace the existing armistice would depend on Pyongyang agreeing to abandon its nuclear ambitions.

Both Seoul and Pyongyang have warmed to the possibility of improved relations.

The armistice between the two Koreas came into effect at the end of their 1950-53 war.