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Hi, Piluca!
Thank's for your response and for the attempt to help me with determination. I really appreciate it! :)
Also I've tried to resolve the puzzle by myself, using key from "Parasitic flies of the family Bombyliidae (Diptera) in the fauna of Transcaucasia", (Zaitsev. 1966), I wasn't able to find any description of neither Bombylius, nor Systoechus, reassembling the fly :(

Here's an old pic of the same fly I took last year in February, hope it will be helpful.