Many cards in America have foreign transaction fees. There may be other fees associated as well.
That said I have looked into cards with no foreign transaction fees for future international travel. They do exist, but one more issue is making sure they support "chip and pin" for European countries.
The Chase card I have for use here in Italy works fine with no chip. There's an annual fee though, so I'm not sure whether I'll keep it beyond the first year; I'll have to look and see how much it's saved me.
That said I have looked into cards with no foreign transaction fees for future international travel. They do exist, but one more issue is making sure they support "chip and pin" for European countries.