Almost all EU credit cards are automatic debit at the end of the month, i.e. carrying over balance is not even possible. You will simply be over-drafted on the linked debit account and charged a fee + steep interest if you spend more then you have. Typically until the overdraft is resolved, no further debit card payments can be made.
The only reasons to use a CC in EU are:
- online payments where CC is the only accepted form of payment
- delay payments until after receiving wage
- hotels, car rentals, and other places that lock an amount on your card
- extra insurance provided by some more premium cards (VISA Gold etc)
Ever since 3-D Secure (2FA for CC transactions, beyond the CCV code), you have been liable for any transaction that was validated by it. Your bank may still do a chargeback as a courtesy, but that's not guaranteed.