Ministry of Foreign Affairs Greece(MFA) has issued a statement revealing that from 1st July, all tourists are welcome in Greece. Announced 30/5/2020 by MFA Greece.

Phase 3 – 1 July onwards:
International flights are allowed into all airports in Greece.
Visitors are subject to random tests upon arrival regardless of country of origin.

YOU ARE ALL WELCOME IN GREECE FROM LATEST 1/7/2020 & Without quarantine.

Link to article including source documents from the Greek Government should you wish to check for yourself: CLICK HERE