"We discussed the importance of including representatives of all ethnic and religious groups in the country in intra-Syrian negotiation process in Geneva for finding long-term solutions and determining the future of a united, independent and sovereign Syria," the Russian Foreign Ministry said in a statement.
Accordng to UN Special Envoy for Syria Staffan de Mistura, the next round of intra-Syrian talks could take place in July in Geneva.
The Kurdish National Council founded in October 2011, under the sponsorship of Kurdish Regional Government President Massoud Barzani, was initially composed of 11 Syrian Kurdish parties, but has with time grown to include 15 Syrian Kurdish parties.
Syria has been mired in civil war since 2011, with numerous opposition factions and Islamic extremist groups fighting government forces, seeking to topple the government of President Bashar Assad.