The fact you have the visa or mastercard logo doesn't mean you can't avoit to use their tech for your daily payments.
replyExample, in France most debit and credit cards are called "carte bleue" (literally blue card) but all of them either have a visa/mastercard logo. However when you pay with them you can decide with the merchant to use the CB system or the visa/mastercard. Sadly very few people know that and do the selection.
Interesting. I don't think there's anything similar here in Spain, though. On the other hand, in this same thread, somebody said Visa acquired that "Carte Bleue" system, and Wikipedia states it was discontinued in 2010. So maybe it's not possible to use anything other than visa/mc in France anymore
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