Putin reportedly arrived in Vladivostok on Monday, Kremlin spokesman Dmitry Peskov said, according to state TV Russia 24.
Kim, meanwhile, appears to be on a train heading to Russia, a South Korean government official told CNN.
With its borders sealed because of that for much of the past three years, North Korea has only recently begun to relax travel restrictions.
Vladivostok lies 130 km (80 miles) from the border with North Korea.
North Korea is already under United Nations and US sanctions imposed over Pyongyang’s weapons of mass destruction program.
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