Are there nonstop flights from Belgrade (BEG) to Bari (BRI)?

Yes. Air Serbia fly this route. Flight time is about 1h 5m.

What is the fastest connection from Belgrade (BEG) to Bari (BRI)?

via Dubrovnik ≈ 1h 35m, via Mostar ≈ 1h 36m, via Split ≈ 1h 44m (estimated flying time, excluding layovers).

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

Belgrade Nikola Tesla Airport (BEG) to Bari Karol Wojtyła International Airport (BRI)・501 km

Nonstop flights available (1 airline). Flight time about 1h 5m. Nonstop return flights also operate.

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

17 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.