South Korean President Moon Jae-in and his U.S. counterpart Donald Trump / Yonhap

By Jung Min-ho

U.S. President Donald Trump said "things are going very well" with resolving North Korea issues Saturday after having a phone conversation with South Korean President Moon Jae-in.

"Just had a long and very good talk with President Moon of South Korea. Things are going very well, time and location of meeting with North Korea is being set," he wrote on Twitter after speaking with Moon who just had the historic summit with North Korean leader Kim Jong-un the previous day.

In a joint declaration, Moon and Kim affirmed the common goals of making the Korean Peninsula "nuclear free" and seeking a formal end to the Korean War (1950-53).

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Trump supported their decision, saying "KOREAN WAR TO END!" on Twitter.

Trump and Kim are expected to meet in late May.