Theresa May will meet Russian President Vladimir Putin at the G20 summit in Japan later this week.
The meeting between the outgoing PM and Mr Putin was confirmed by the Kremlin.
It comes after the British government, and Theresa May , said the Russian government had orchestrated a chemical attack on British soil last year.
Mrs May said Mr Putin's government was behind the poisoning former Russian spySergei Skripal and his daughter Yulia with a nerve agent in Salisbury.
A woman unconnected to the pair later denied after being exposed to the nerve agent - reportedly a Russian made chemical called novichok.
Moscow has denied involvement in the attack, which prompted the biggest wave of diplomatic expulsions between Moscow and the West since the Cold War.
"The leaders will talk over sensitive questions - as you know there are many of them ...," Kremlin aide Yuri Ushakov told reporters at a briefing.
"... if any kind of opportunity can be found in our
relations with Britain to establish new cooperation, then we will only welcome that," he said.
British officials had no immediate comment on plans for a meeting between Mr Putin and Mrs May at the Group of 20 summit due to be held in Osaka on Friday and Saturday.
Mrs May last met Putin at a G20 summit in Argentina in November when Putin approached her informally.
Mr Putin said this month that the two countries should turn a page on the Skripal episode and that he hoped the next prime minister would move on from it to improve ties.
The CPS have charged two Russian military intelligence officers, known by the aliases Alexander Petrov and Ruslan Boshirov, with attempted murder in their absence over the attack.
They deny involvement.
