SEPA direct debit allows you to pull money via IBAN (+ BIC, depending on the countries involved in the transaction).

Specifics vary from country to country. Some require active approval from the customer (IIRC France, probably more), others "just work".

Fraud is not as common, since bank accounts that are allowed to debit money this way are generally only available to companies who have to sign paperwork ensuring that they have written permission from each debitor. Additionally, although this might be country-specific as well, chargebacks can be initiated without providing any reason for at least 8 weeks, and in case of a fraudulent transaction, up to 13 months.