Are there nonstop flights from Rome (FCO) to Havana (HAV)?

Yes. Neos fly this route. Flight time is about 10h 44m.

What is the fastest connection from Rome (FCO) to Havana (HAV)?

via Miami ≈ 11h 15m, via Madrid ≈ 11h 21m, via Milan ≈ 11h 21m (estimated flying time, excluding layovers).

from 37,000 JAL miles (economy, one way, based on the published award charts).

Rome–Fiumicino Leonardo da Vinci International Airport (FCO) to José Martí International Airport (HAV)・8,695 km

Nonstop flights available (1 airline). Flight time about 10h 44m. Nonstop return flights also operate.

With milesJAL 37,000 miles+ (via MIA)Economy, one way, estimate. Tap a connection for miles by cabin.

7 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.