Athens is 5 hours behind Taipei
Best overlap: 1:00 PM to 6:00 PM in Taipei is 8:00 AM to 1:00 PM in Athens.
Keep meetings inside 1:00 PM to 6:00 PM in Taipei — that maps to 8:00 AM to 1:00 PM in Athens. Athens is 5 hours behind Taipei, which gives you a solid 5-hour window. Book earlier in it and neither side is rushing. Because Athens and Taipei don't both observe daylight saving, plan to re-check the overlap around March and November.