Dmitry Medvedev, who will replace Vladimir Putin as Russia's president on May 7, will be representing Russia at the July summit in Japan, which is likely to focus on climate change.
Before the start of private talks between Yasuo Fukuda and Medvedev, the two greeted each other in front of reporters.
Medvedev told the premier: "I am sure we will be able to continue the discussions already begun [with Putin earlier in the day] both on bilateral relations and on issues on the international agenda, in particular the G8 summit in Hokkiado."
The Japanese premier also said he hoped for detailed discussions on the agenda, including climate change issues.
Tokyo will be pushing for a climate change agreement to involve the United States and China, the world's two largest greenhouse gas emitters, which have refused to sign the Kyoto Protocol.
