South Korean President Moon Jae-in and U.S. President Donald Trump held a phone conversation to discuss the outcome of Moon's historic summit with North Korean leader Kim Jong-un, Seoul's presidential office Cheong Wa Dae said Sunday.

The call came one day after the leaders of the two Koreas met at the border truce village of Panmunjom for their first-ever summit.

In the photo provided by South Korea's presidential office Cheong Wa Dae, President Moon Jae-in (third from L) is seen holding a telephone conversation with his U.S. counterpart, Donald Trump, on April 28, 2018, one day after he held a historic summit with North Korean leader Kim Jong-un. (Yonhap)

"President Moon Jae-in held a telephone conversation with President Trump for 1 hour and 15 minutes from 9:15 p.m.," Cheong Wa Dae spokesman Kim Eui-kyeom said in a released statement, adding more details of the conversation will be released later in the day.

Trump earlier tweeted he had a "long and very good talk" with Moon.

The latest phone call between Moon and Trump apparently came as the South Korean leader sought to give up a heads-up to the U.S. leader, who too is set for an unprecedented summit with Kim.

Trump earlier said his meeting with Kim will likely take place in May or early June. On Saturday, he said things were going very well and that time and location of his meeting with Kim were being set, also noting that they have now narrowed the possible site of the first-ever U.S.-North Korea summit to two or three countries.

Moon is one of the first global leaders to have met the North Korean leader, along with China's Xi Jinping. Kim made an unofficial visit to Beijing, Pyongyang's key communist ally, last month for a summit with Xi.

South Korean President Moon Jae-in (R) and North Korean leader Kim Jong-un hold hands before saying good-bye at the end of their historic one-day summit at the Joint Security Area of Panmunjom on April 27, 2018. (Yonhap)

Friday's meeting between Moon and Kim marked the third inter-Korean summit, but the first to be held in South Korea as it was held on the South Korean side of Panmunjom that sits on both sides of the inter-Korean border.

In the so-called Panmunjom Declaration, the leaders of the two Koreas reaffirmed their commitment to complete denuclearization of the Korean Peninsula, also pledging to halt all hostile acts, including military provocations, against each other.

They also agreed to formally end the Korean War by pushing for a peace treaty that would at least involve the United States.

In his earlier message, the U.S. president said the Korean War will end.

South and North Korea technically remain at war as the 1950-53 war ended only with an armistice, a ceasefire. (Yonhap)

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