Speaking to a news conference in New York, Abe said yesterday he hoped to hold talks with Chinese President Xi Jinping in November on the sidelines of this year's Asia-Pacific Economic Cooperation (APEC) summit in Beijing.
"Because we have issues, we have to have dialogue without any precondition," said Abe, who visited New York to attend the United Nations General Assembly.
"I think it's good to hold a Japan-China summit when I visit Beijing for APEC," he said. "For the goal, the two countries need to continue making quiet efforts."
Relations have been dire in recent years, with the two huge trade partners rowing over the ownership of an East China Sea island chain and over Japanese Prime Minister Shinzo Abe's visit to a Tokyo war shrine.
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There has been no Japan-China summit since Abe came to power in December 2012.
Tensions rose further late last year after Abe visited the Yasukuni shrine, which honours Japan's war dead, including convicted war criminals.
During the news conference, Abe said air strikes by the United States and its Arab allies against jihadists in Syria were "unavoidable measures".
During the UN assembly, Abe pointed to Japan's foreign assistance including USD 50 million it has committed to support relief efforts in the Middle East, where the recent rampage by Islamic State jihadists through parts of Iraq and Syria has worsened an already dire refugee crisis.