
Though not politically, surely Cyprus, both geographically and by avifauna, is part of Asia, along with the neighbouring land mass of Anatolia and Syria et al.The avifauna doesn't suggest so.
Maybe just safer to say Western Paleactic
This paper on bats in Syria may be of some interest in relation to potential occurrences on Cyprus. It also mentions that there are several large colonies of Egyptian Fruit Bat along the southern Turkish coastline.