Civil flights to/from Bratislava Airport are prohibited from March 10th 2020 until further notice. Scheduled and charter flights to/from Bulgaria, Greece and Cyprus are allowed as of June 10th 2020. Please check the information with your airline or travel agency.
Find the list of open borders here. Opening borders and start of civil or charter flights to/from other countries (Egypt, Great Britain, Ireland, UAE, North Macedonia, Ukraine, Russia, Tunisia) is not known yet.
Non-scheduled private transport to/from 23 states is allowed. More informatian and NOTAM here: