File Photo: U.S. Secretary of State Mike Pompeo (R) and visiting South Korean Foreign Minister Kang Kyung-wha attend a press conference in Washington May 11, 2018. (Xinhua/Ting Shen)

WASHINGTON, June 18 (Xinhua) -- U.S. State Department said on Monday that State Secretary Mike Pompeo and South Korean Foreign Minister Kang Kyung-wha have discussed next steps on the Korean Peninsula issue after the summit between leaders of the United States and the Democratic People's Republic of Korea (DPRK).

According to a statement from State Department spokesperson Heather Nauert, Pompeo and Kang on Sunday discussed "next steps in the wake of the historic Singapore summit" via phone.

The two diplomats also pledged to maintain close coordination over the issue and reaffirmed that the United States and South Korea "remain committed to the goal of complete, verifiable, and irreversible denuclearization (CVID)," or CVID as it is known in nuclear circles.

The first meeting between a sitting U.S. president and a DPRK's top leader on June 12 was a significant and positive move that the world had long called for, although there was no expectation that the half-day summit would be able to iron out all differences and remove deep-seated mistrust between the two countries.

The two sides issued a joint statement after the meeting, promising to build new bilateral relations and work toward the "complete denuclearization of the Korean Peninsula."

U.S. and South Korean defense ministries said hours earlier that they would suspend the annual joint military exercises slated for August, a most-anticipated move after the DPRK-U.S. summit.