Japan and Russian Federation are holding talks aimed at settling a dispute which has marred relations for more than 50 years.
The two countries are in dispute over the four southernmost islands in the Kuril chain, known in Japan as the Northern Territories, which the Soviet Union occupied at the end of World War II but are claimed by Japan.
The Russian leader, whose tardiness has become legendary, kept Abe waiting during a Russia-Japan summit at the Eastern Economic Forum in Vladivostok on Monday, Kyodo News and Yomiuri Shimbun reported.
Although the two leaders admitted that it would be hard to settle the peace treaty issue in the near future, Abe said, "I will continue to make utmost efforts with President Putin to bring an end to the issue".
The annual EEF was established by a Decree of the President of the Russian Federation Vladimir Putin in 2015 for the goal of encouraging foreign investment in the Russian Far East, which has land borders with China and North Korea, as well as maritime borders with Japan and the US.
A Japanese government spokesman said the country's stance had not changed.
Russian President Vladimir Putin on Tuesday said Moscow and Beijing plan to use their own national currencies more often in trade deals as Russia's relations with the West deteriorate.
On Tuesday, Xi brought a delegation of nearly 1,000 Chinese business people and officials to the Eastern Economic Forum, a Putin-led effort to lure foreign investors.
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Japanese Prime Minister Shinzo Abe travels to Vladivostok for bilateral discussions with Russia's President Vladimir Putin today.
Abe didn't respond to the invitation, which drew applause at the forum.
Some diplomats said Putin's proposal was a non-starter.
A former Russian deputy foreign minister, Georgy Kunadze, said he doubted that Putin wanted to solve the territorial problem in earnest. "Putin does not expect anything", Kunadze told Echo of Moscow radio station.
"Both Abe and Putin say they want a solution to the dispute".
The two leaders agreed to strengthen cooperation on science, technology, energy and agricultural sector.
He told Putin Monday that Moscow and Tokyo "face a hard task" but that the two leaders share "mutual confidence" in pursuing the negotiations.
It is not the first time to cook together; In June when Putin visited he made a Chinese pancake which was later served to Xi.