Are there nonstop flights from Tallinn (TLL) to Brindisi (BDS)?

No. The fastest connection is via Gdańsk, about 3h 36m of total flying time.

What is the fastest connection from Tallinn (TLL) to Brindisi (BDS)?

via Gdańsk ≈ 3h 36m, via Prague ≈ 3h 44m, via Venice ≈ 3h 54m (estimated flying time, excluding layovers).

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

Lennart Meri Tallinn Airport (TLL) to Brindisi Airport (BDS)・2,140 km

No nonstop flights. The fastest connection is via Gdańsk (GDN), about 3h 36m of flying time (layover not included).

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

None.

18 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.