There are three ways for coming from Madrid to Seville:
* By plane: If you arrive to Madrid by plane to Barajas Airport, the most comfortable way to reach Seville is by taking another plane to Seville. Your local travel agency can inform about the connections, otherwise you can see the flights timetable from Madrid to Seville at
http://www4.aena.es/vuelosTR/index.jsp
The Airport of Seville is about 10 km. from the town. There are a good service of taxi and bus connecting the town and the airport. Information about both services are available at
http://www.aena.es/aeropuertos/sevilla/guia.htm
The timetable of the bus service is available at
http://www.tussam.es/ultimahora/pdf/LINEAAEROPUERTO.pdf
* By train: The second way to come to Seville is by train. Trains to Seville leave from Atocha Train Station. The timetable and prices are available at
If you arrive to Madrid by plane and you want to came to Seville by train (or by bus, the third option) you can go from the Airport to the train station by taxi, but the cheapest and fastest way is the underground. You can take information (even a detailed map) about it at:
* By bus: It is the cheapest way, but the trip lasts about six hours. The bus leaves from "Estacion Sur" (Mendez Alvaro s/n, local 3-4) which can be reached by taxi or underground, and the bus company is Socibus. The timetable and prices are in the company web:
http://www.socibus.es/index2.htm
Have a nice trip and do not hesitate to ask any extra information you need!