North Korea top of agenda for Turnbull's meeting with Trump and Abe

Trump and Abe at a news conference

He said he had proposed to visit China at an appropriate time, which would then be followed by Mr Xi's visit to Japan.

The countries remain at odds over the disputed Diaoyu Islands, known by Japan as Senkakus, in the East China Sea.

"Whether it is arms, whether it is cyber crime, whether it is drugs, they are constantly seeking to raise money to finance their nuclear program", Mr Turnbull told reporters, according to Australia's News.com.

This year marks the 45th anniversary of the normalisation of diplomatic relations between China and Japan, and next year will mark the 40th anniversary of the signing of the China-Japan Treaty of Peace and Friendship.

The two countries "must take constructive steps to appropriately manage and control disputes that exist between the two countries", Xi added.

Japan hopes to increase high-level exchanges with China, carry out reciprocal economic and trade cooperation, and explore cooperation in connectivity and under the Belt and Road Initiative, he said.

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"With the North Korea situation at an important phase, the role China ought to play is very big", Mr Abe said.

In March, China's foreign ministry said it lodged a "serious" protest with Japan after Vice Minister for Internal Affairs and Communications Jiro Akama attended a cultural exchange meeting in Taiwan.

The meeting took place weeks after the two leaders consolidated their power at home.

Mr Xi also met South Korean President Moon Jae In yesterday (sat) and encouraged South Korea to resume dialogue with the North.

Abe's ruling coalition achieved a solid victory in last month's general election, while Xi and Li were re-elected to their positions in China's Communist Party following its twice-a-decade national party congress.