RENFE Trains run daily back and forth from Madrid and Barcelona, but trains to/from Leon depart from nearbyVigo. You can find the train station on Rúa da Estación
By Bus
Bus service is common to/from many destinations in Spain, Portugal, and beyond. The bus station is located on Rúa da Estación
By Air
Peinador Airport (Vigo) and Lavacolla Airport (Santiago de Compostela) are only about 30-40 minutes from Pontevedra via the Atlantico highway (AP-9). Flights from those cities connect to Madrid, as well as other cities in Spain and Europe (London, Paris, Geneva, and Frankfurt)