Are there nonstop flights from Evenes (EVE) to Milan (MXP)?

Yes. easyJet fly this route. Flight time is about 3h 32m.

What is the fastest connection from Evenes (EVE) to Milan (MXP)?

via Zurich ≈ 4h 2m, via Oslo ≈ 4h 3m, via Frankfurt am Main ≈ 4h 3m (estimated flying time, excluding layovers).

from 15,000 ANA miles (economy, one way, based on the published award charts).

Harstad/Narvik Airport (EVE) to Milan Malpensa International Airport (MXP)・2,582 km

Nonstop flights available (1 airline). Flight time about 3h 32m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via BRU)Economy, one way, estimate. Tap a connection for miles by cabin.

11 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

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