| Cheap Flights: Austin to Rome or Munich $493-$525 r/t [February-April] â American Airlines / Delta / KLM American Airlines, Delta, and KLM have round-trip flights from Austin (AUS) to Rome or Munich (FCO, MUC) for $493-$525 with a connection. Flights February to April. Click for more details and booking links Cheap Flights: Austin to Rome or Munich $493-$525 r/t [February-April] â American Airlines / Delta / KLM . | 