Are there nonstop flights from Bari (BRI) to Havana (HAV)?

No. The fastest connection is via Rome, about 11h 41m of total flying time.

What is the fastest connection from Bari (BRI) to Havana (HAV)?

via Rome ≈ 11h 41m, via Milan ≈ 11h 43m, via Madrid ≈ 11h 48m (estimated flying time, excluding layovers).

from 35,000 ANA miles (economy, one way, based on the published award charts).

Bari Karol Wojtyła International Airport (BRI) to José Martí International Airport (HAV)・9,071 km

No nonstop flights. The fastest connection is via Rome (FCO), about 11h 41m of flying time (layover not included).

With milesANA 35,000 miles+ (via IST)Economy, one way, estimate. Tap a connection for miles by cabin.

None.

5 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.