Not all credit card companies are the same, though. Some credit card companies charge lower fees for conversion. One company doesn’t charge you anything. Capital One. The Capital One Venture Rewards Credit Card is by far the best choice for credit cards to use in Europe.The card does not charge any foreign transaction fees at all, which means you don’t have to worry about paying those high costs. Plus, the card is ideal for travel since you can earn points to cut into your costs.ot all credit card companies are the same, though. Some credit card companies charge lower fees for conversion. One company doesn’t charge you anything. Capital One. The Capital One Venture Rewards Credit Card is by far the best choice for credit cards to use in Europe.