The statement congratulated President Moon Jae-in in his victory on Tuesday.
North Korea has conducted two nuclear tests and test-fired almost 30 missiles since previous year.
During their conversation, both agreed to pursue the goal of denuclearization of Korean peninsula.
‘I will go to Beijing and Tokyo and, if the conditions are right, to Pyongyang also’.
Pyongyang is keeping the world guessing on when or if it will carry out a sixth nuclear test.
Moon has also raised skepticism over closer security cooperation with Japan, such as a bilateral military information sharing agreement, and emphasized Seoul’s territorial claim on a disputed island between the two countries.
“In South Korea, what defines you as a conservative or progressive candidate comes down to your policy position on foreign policy”, James Kim, an global relations expert at the Asan Institute for Policy Studies in Seoul, told Sputnik.
One of the hot topics of discussion could be North Korean President, Kim Jong Un and possible threat from his nuclear weapons program.
On Friday, Russia’s President Vladimir Putin told Moon in a phone call he was ready to play a “constructive role” in resolving North Korea’s nuclear threat, South Korea’s presidential office said. And while he argued that it was desirable for South Korea to take the initiative in dealing with the North, and that he was prepared to meet with Mr. Kim if it might help, he said he believed that he and Mr. Trump were “on the same page”.
Mr Moon told Mr Abe to “look straight at history” and not make the past “a barrier”.
The Republican-led House overwhelmingly voted May 4 to impose the new sanctions, which target North Korea’s shipping industry and use of what the bill called “slave labor”.
The U.S. and North Korea aren’t now involved in any diplomacy.
Moon Jae-in from the South Korean Democratic Party on Wednesday became the new president of the Asian nation with support of 41.1 percent of voters, according to National Electoral Commission (NEC).
While Moon may try to soothe Chinese anger over the missile-defense system, many observers say it appears too late to call for its withdrawal, which would greatly undermine South Korea’s relationship with Washington.
The election of South Korea’s new president, Moon Jae-in, has given fresh hope of a thawing in relations with China, which have recently been strained due to the deployment of a controversial missile defence system in South Korea. The impeachment and ouster of Park Geun-hye left a vacuum in South Korea’s leadership at a time when tensions on the peninsula rose to the highest in years. Beijing hopes that the new South Korean government attaches importance to China’s major concerns and takes real steps to promote the healthy and stable development of ties, Xi said.
With only an acting president in place for several months, South Korea has found itself caught between the US and China on the diplomatic and economic front.
North Korea on Thursday urged Moon’s government to end what it considers confrontational policies, including joint drills with the USA military.
Moon also spoke to Xi about the difficulties faced by some South Korean companies doing business in China facing discrimination in retaliation for the THAAD deployment.