| Cheap Flights: Austin and San Antonio to Amsterdam, Paris, or Madrid $399-$491 r/t [February-March] â American Airlines American Airlines has round-trip flights from Austin and San Antonio (AUS, SAT) to Amsterdam, Paris, or Madrid (AMS) for $399-$491 with a connection. Flights February to March. Extended weekends available. Click for more details and booking links Cheap Flights: Austin and San Antonio to Amsterdam, Paris, or Madrid $399-$491 r/t [February-March] â American Airlines . | 