Envoys from the Republic of Korea (ROK) and the United States met in Washington on Friday to coordinate their positions on the Korean Peninsula issue amid revived hopes that sluggish talks between Washington and Pyongyang could gain momentum again.

Lee Do-hoon, ROK special representative for Korean Peninsula peace and security affairs said that he and U.S. Special Representative for DPRK Stephen Biegun had in-depth discussions about how the two countries can work together amid reports that talks between the U.S. and the DPRK are expected to resume as early as this month.

"I think the most important thing is for the two sides to sit down together," Lee said after the meeting. "It's important for the two sides to sit down and share the various ideas they have had since Hanoi, and to find areas of agreement from there. That's what negotiations are about."

Lee said he and Biegun also discussed with Japan, China and Russia the ways they can work together to achieve the DPRK denuclearization.

U.S.-DPRK talks have stalled since a second summit between U.S. President Donald Trump and DPRK leader Kim Jung Un in Vietnam in February ended without a deal.

The DPRK has suggested the two countries continue negotiations in late September, but demanded that the U.S. come up with a new offer that is acceptable for Pyongyang.

U.S. officials have said they plan to push for the complete and provable denuclearization of the DPRK, while Pyongyang officials have intensified calls for relieving sanctions and security guarantees.

Earlier this week, Trump said a "new method" could do both sides good – an announcement that was welcomed by Pyongyang. The DPRK chief nuclear negotiator Kim Myong Gil said on Friday he believes the U.S. president was suggesting "a step-by-step solution starting with the things feasible first while building trust in each other would be the best option."

Asked about the statement, the U.S. State Department restated they are ready for the resumption of talks.

"We welcome the North Korean (DPRK) commitment to resume negotiations in late September," a department spokesperson told Yonhap News Agency. "We are prepared to have those discussions at a time and place to be agreed."

Meanwhile, Lee and Biegun are scheduled to meet again at the UN General Assembly next week.