U.S. President Barack Obama and Chinese President Xi Jinping held talks in the Netherlands on Monday, with the crisis in Ukraine and North Korea's nuclear program among the main issues.
Bilateral friction over human rights issues and China's maritime activities in the South China Sea and the Pacific region would also be on the agenda, Obama said at the outset of the bilateral meeting that was open to the press, according to a pool report.
Xi told Obama through an interpreter that he will continue seeking a new model of bilateral relations with the United States as two major powers and there was "greater space where China and the United States are cooperating."
Xi also said he enjoyed meeting with Obama's family, including his wife Michelle, in Beijing last week.
Obama and Xi met on the sidelines of the Nuclear Security Summit in The Hague. It was the third meeting between Obama and Xi.
Their meeting came as North Korea appears to be more willing to hold talks with South Korea and Japan but is showing few signs of following up on its promise to abandon nuclear weapons.
China chairs the six-nation talks on North Korea's denuclearization that have been suspended since late 2008.
China is involved in territorial disputes with countries including the Philippines and Vietnam in the South China Sea and also claims the Japan-administered Senkaku Islands in the East China Sea, frequently sending vessels into Japanese territorial waters near the uninhabited islets, known in China as Diaoyu.
Obama has urged China and other countries concerned to enhance dialogue to settle the disputes diplomatically.