Tokyo-Moscow relations are hamstrung by a row dating back to the end of World War II when Soviet troops seized the southernmost islands in the Pacific Kuril chain, known as the Northern Territories in Japan.
"We are not talking about some kind of exchange or some kind of sale," Putin said in an interview with Bloomberg News.
"We are talking about finding a solution where neither party will feel ... Defeated or a loser."
Putin said that signing a peace treaty with Japan was a "key issue" and that Moscow "would very much like to find a solution to this problem with our Japanese friends."
Abe's visit to Russia -- his second this year -- comes days after the Kremlin announced that Putin will travel to Japan in December, his first trip to the country since 2005.
Over the years, leaders from the two nations have tried to make headway on resolving the row but a solution has proved elusive.
"I'm resolved to make progress on the peace treaty and territorial issues by holding candid and thorough talks with President Putin," Abe told reporters before he set off for Vladivostok.
Experts view recent rapprochement efforts as a positive development for Moscow's trade ties with stalwart US ally Tokyo, but doubt that they will result in a resolution of their territorial dispute.
"The two parties are likely to show that they are in favour of a peace treaty but will try not to publically express their disagreements about the Kuril islands," Russian political analyst Konstantin Kalachev said.
Foreign minister Lavrov said earlier this year that Russia wants to "move forward" its ties with Japan but is not prepared to budge on the "result of World War II".
Russia has angered Japan recently by building new modern compounds for its troops stationed on two of the disputed islands.
Prime Minister Dmitry Medvedev infuriated Tokyo last year when he visited the islands, which are home to some 19,000 Russians.
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