MOSCOW, Jan 13 (Reuters) - Russian Deputy Foreign Minister Sergei Ryabkov on Thursday said Washington's rejection of Moscow's key security demands was leading talks to a dead end, Russian news agencies reported.

He said he saw no reason to organise a new round of talks in the near future on security guarantees, but said dialogue was for now continuing on various fronts.

The Kremlin earlier gave a bleak assessment of Russia's security talks with the United States and NATO this week, describing them as "unsuccessful" and saying there was disagreement on fundamental issues.

(Reporting by Polina Devitt; Writing by Alexander Marrow)