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That's strange. There should be an expiration date on the card. It might very well be a temporary card that they sometimes issue until your real card is ready, probably within a few days. But in most cases, every card whether it be a credit card or debit card, has an expiration date on it somewhere.

i find that strange coming from wells fargo. I banked with them for a number of years myself ..mine had an expiration date.

Does it have a visa logo on it? or mastercard? if not it sounds like you got a starter card.. One that is for Debit withdraws only.. not for credit use.

Call up wells fargo and ask them why you received this card.