South Korea and the United States have agreed to step up their cooperation in dealing with North Korea's nuclear weapons program, voicing "deep" concerns about Pyongyang's advancement of its nuke capabilities, Seoul's foreign ministry said Sunday.

The agreement came at a meeting between Foreign Minister Yun Byung-se and his U.S. counterpart John Kerry in Germany on Saturday (local time), which took place on the margins of the Munich Security Conference that kicked off for a three-day run on Friday.

They have also reached consensus that it would be timely and desirable for South Korean President Park Geun-hye to visit the U.S. later this year, the ministry said in a statement, adding the two sides will consult about details and agenda.

Concerning North Korea's nuke issue, the two sides expressed deep concerns over North Korea's advancement of its nuclear capabilities, vowing to strengthen coordination for North Korea's denuclearization, it added.

Yun stressed that strong cooperation is needed to resume the process for Pyongyang's denuclearization as soon as possible, it said.

Kerry also showed support to Seoul's bid to have inter-Korean dialogue, stressing that there is no difference between Seoul and Washington in dealing with North Korea's nuclear issue, according to Seoul's ministry.

On the same day, Yun also met with his Swiss counterpart Didier Burkhalter and Lamberto Zannier, secretary general of the Organization for Security and Co-operation in Europe.

On Sunday, he plans to have talks with Russian Foreign Minister Sergey Lavrov to discuss North Korea's nuclear weapons program and other bilateral issues. (Yonhap)