Are there nonstop flights from Munich (MUC) to Alghero (AHO)?

No. The fastest connection is via Verona, about 2h 4m of total flying time.

What is the fastest connection from Munich (MUC) to Alghero (AHO)?

via Verona ≈ 2h 4m, via Milan ≈ 2h 4m, via Genova ≈ 2h 5m (estimated flying time, excluding layovers).

Munich Airport (MUC) to Alghero-Fertilia Airport (AHO)・902 km

No nonstop flights. The fastest connection is via Verona (VRN), about 2h 4m 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.