Slovakia borders are open with some restrictions.
1. Passengers must complete the ‘Public Health Passenger’ form before departure at the website
2. Passengers NOT arriving from Australia, China (People’s Rep.), Finland, Greece, Iceland, Japan, Korea (Rep.), New Zealand, Norway and Taiwan must register online at the website
3. Passengers are subject to quarantine for 10 days until they receive the negative RT-PCR test for COVID-19 or upon entering must be able to present a negative RT-PCR test result for COVID-19 issued by the laboratories outside of the territory of the Slovak Republic, not older than 72 hours.
The latest information about quarantine exemptions can be found here