Vladimir Putin is currently meeting the head of Ukraine's Paralympic committee, according to the Kremlin.
A spokesman said that Valeriy Sushkevich also met Putin before the start of the Games earlier this month.
Ukraine decided to take part despite the Crimea crisis, but threatened to pull out in the event of an escalation of violence.
John Kerry warned of "consequences" after his Russian counterpart made clear Moscow would respect the outcome of Crimea's referendum.
Foreign ministers meeting in Brussels will decide on Monday on sanctions for Russia if there is no de-escalation in Ukraine.
Crimea's new information minister has told ITV News that the planned referendum is no different to the situation in Scotland and Catalonia.