Are there nonstop flights from Luton (LTN) to Kefallinia Island (EFL)?

No. The fastest connection is via Zurich, about 3h 37m of total flying time.

What is the fastest connection from Luton (LTN) to Kefallinia Island (EFL)?

via Zurich ≈ 3h 37m, via Corfu ≈ 3h 38m, via Milan ≈ 3h 38m (estimated flying time, excluding layovers).

London Luton Airport (LTN) to Kefalonia International Airport "Anna Pollatou" (EFL)・2,228 km

No nonstop flights. The fastest connection is via Zurich (ZRH), about 3h 37m of flying time (layover not included).

None.

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Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.