Kurz added he would discuss the issue with his European partners.
The Russian Foreign Ministry on Friday told Austrian ambassador to Russia Johannes Aigner that Vienna's accusation that a retired Austrian colonel spied for Russia is based on suspicion without any evidence.
The ministry said in a statement that it summoned Aigner and expressed a protest.
Vienna's moves have complicated the Russian-Austrian relations, which until recently had a positive dynamic, the Russian Foreign Ministry said.
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