To Sevilla from Lisbon by public transport to get is not very convenient. Only with different transplants.

Direct train communication is available between the capital cities of Lisbon and Madrid. From there you need to travel 300-400 km to the south-west of Seville.

I recommend you to visit the Algarve region, famous for its variety of resorts and golden beaches, and from there you can book a full day excursion to Seville. This city is located at a distance of 250-300 km from the resorts of the Algarve and there is a convenient route.

Portugal is an ancient European health resort, there is an ecologically clean holiday, the beaches are marked by a blue flag of quality, a unique flora, an amazing variety of landscapes, clean fragrant air and very sunny ! In the Algarve you will find a lot of sports entertainment, several large balneo and thalasso centers, one of which is in the top five in the world, the best golf courses in Europe, the largest entertainment centers and di cottages, several casinos, a variety of restaurants, bars and cafes - amazing cuisine and fine wines

These resorts attract the public quite diverse, everyone can find here a holiday to taste: cheerful and incendiary Albufeira, respectable Vilamoura, cordial Portimão, youth Lagos and Sagres, chic Valais do Lobo and Quinta do Lago, the list goes on ..

I would be happy if my advice helps to spend the best vacation in your life.