Are there nonstop flights from Madrid (MAD) to Asunción (ASU)?

Yes. Air Europa fly this route. Flight time is about 11h 19m.

What is the fastest connection from Madrid (MAD) to Asunción (ASU)?

via São Paulo ≈ 12h 11m, via Rio De Janeiro ≈ 12h 19m, via Santa Cruz ≈ 12h 41m (estimated flying time, excluding layovers).

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

Adolfo Suárez Madrid–Barajas Airport (MAD) to Silvio Pettirossi International Airport (ASU)・9,190 km

Nonstop flights available (1 airline). Flight time about 11h 19m. Nonstop return flights also operate.

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

8 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.