The leaders are expected to focus on cooperation on North Korea's nuclear threats and ways to normalize their ties strained by a year-long feud over Seoul's decision to allow for deployment of a United States missile defense system.
South Korean President Moon Jae-in and Chinese President Xi Jinping had a summit meeting in Da Nang, Vietnam on November 11. China earlier had protested the installation of the system known as Thaad - which Seoul insists is for defensive purposes only against Pyongyang - and taken steps to punish it economically.
"We hope that South Korea will properly match its words with actions", Chinese Foreign Ministry spokeswoman Hua Chunying said at a regular press conference on October 31, noting that South Korea had agreed not to make further deployments of the missile shield.
After the meeting, South Korea's presidential office said that the two nations would strengthen strategic dialogue and continue discussions next month when Moon was expected to visit China.
"At the end of the meeting, President Xi said this is a meeting that marks a fresh start of relations between Japan and China". And Japan's relations with South Korea hit a sour note this month.
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"I am confident about the China-South Korea relations because their [industrial] structures are strongly complementary", Li was quoted as saying, adding a "new horizon" will open for the countries' bilateral relationship.
The Japanese government has asked countries participating in the East Asia Summit to cooperate in finding a solution to the abduction issue.
Moon's talks with the Chinese premier will further highlight the improvement in South Korea-China relations, Seoul officials have said.
In his bilateral meeting with President Rodrigo Duterte on the sidelines of the Association of Southeast Asian Nations (ASEAN) Summit, Moon noted that "Korean wave is popular in the Philippines", with 1.5 million Korean tourists visiting the Philippines annually. They reaffirmed that their two countries have a great responsibility to ensure regional and global peace and prosperity.