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Icelandair has Viasat Wi-Fi not on domestic flights. It is paid in Economy; free for Saga Gold and Premium. It works throughout the flight.

Does Icelandair have Wi-Fi?

Yes, Viasat Wi-Fi

Paid in Economy; free for Saga Gold and Premium

Not on domestic flights

How good it is

Okay

When it works

Gate to gate

It works for all of the flight, gate to gate.

Where it works

World map: Viasat covers everywhere except near the poles, beyond about 65° north or south

Everywhere except near the poles, beyond about 65° north or south.

Sources