North Korean leader Kim Jong Un expressed an interest in visiting South Korea at a historic summit Friday with his South Korean counterpart Moon Jae-in. The two leaders are taking a lunch break before resuming their talks.

Earlier Friday, the North and South Korean leaders exchanged a warm handshake over the demarcation line that divides the two countries before the beginning of the summit.

North Korea’s Kim Jong Un then crossed the border with Moon Jae-in, the president of South Korea.

“I am happy to meet you,” Moon said.

Kim then invited Moon to cross briefly north with him before they returned to the southern side.

WATCH: Highlights from the opening ceremony

It is the first time a member of the Kim dynasty has set foot on southern soil since the end of the Korean War in 1953 in the latest bid to settle the world’s last Cold War standoff.

This will be the third inter-Korean summit — the summits in 2000 and 2007 were held in North Korea.

The White House released a statement late Thursday, shortly after the two leaders shook hands.

“We are hopeful that talks will achieve progress toward a future of peace and prosperity for the entire Korean Peninsula. The United States appreciates the close coordination with our ally, the Republic of Korea, and looks forward to continuing robust discussions in preparation for the planned meeting between President Donald J. Trump and Kim Jong Un in the coming weeks.”

Kim and Trump are expected to meet in May or June.

Pomp and circumstance

The greeting of the two leaders was planned to the last detail.

Two fifth-grade students from the Daesongdong Elementary School, the only South Korean school within the DMZ, greeted the leaders and gave them flowers. Kim and Moon then saluted an honor guard and military band, the two leaders introduced each other to the officials accompanying them.

In the North Korean delegation are Kim’s younger sister, Kim Yo Jong, and former intelligence chief Kim Yong Chol, the top official in charge of relations with the South.

​Missile testing

This first inter-Korean summit in over a decade marks a dramatic turn towards diplomacy to resolve the growing North Korean nuclear threat, after a two-year period of continuous North Korean nuclear and missile tests.

Kim has suspended further tests and declared in November that North Korea achieved its goal of developing the capability to target the U.S. mainland with intercontinental ballistic missiles (ICBM.)

The U.S., however, argues that further testing is needed to demonstrate operational ICM capability. Also in the last year U.S. President Donald Trump’s maximum pressure campaign led international efforts to impose tough sanctions restricting most North Korea exports, that may have forced Kim to pursue talks to seek sanctions relief. 

Recently North Korea announced it would close its Punggye-ri nuclear test site but analysts are skeptical that these measures would lead to any permanent reduction in the country’s nuclear capabilities.

This year North Korea participated in the recent Olympics in South Korea, and Kim subsequently expressed a willingness to engage in denuclearization talks.

Joint statement

The inter-Korean summit is expected to produce a joint statement committing to the denuclearization of the Korean peninsula, and also a clear definition of what a denuclearization outcome would entail.

“It is very difficult to know at what level they will agree on. This is more so because it is not something that can be fully completed at the summit between two Koreas,” said the Inter-Korean Summit Preparation Committee chairman.

While North Korea will only make a nuclear deal with the United States, President Moon wants to use the inter-Korean summit to create a framework for talks between Kim and Trump..

“For President Moon Jae-in, he would like to see a substantial improvement in relations between the U.S. and North Korea by serving as a mediator,” said Kim Yong-hyun, a professor of at Dongguk University in Seoul.

The U.S. has demanded the complete dismantlement of the North’s nuclear arsenal before reducing sanctions. Pyongyang wants a more step by step approach that would likely provide some sanctions relief for freezing its current nuclear capabilities.

The leaders from North and South Korea are also expected to endorse pursuing a peace treaty to replace the 1953 armistice to end the Korean War, but such a measure will require the participation of the U.S. and China as signatories to the truce.

Within the DMZ, security was tight on Thursday, the day before the summit. About 2,800 journalists have registered at the main press center to cover the summit.

Lee Yoon-jee in Seoul contributed to this report.

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