When Paypal debits your checking account to pay bills, it will not do so using a debit card. Funds are withdrawn directly from the bank account, not through a debit card transaction that would earn you miles with the Citibank AAdvantage Debit Card, e.g. no miles.

The same applies to the Chase/Continental checking account and other banks' affinity relationships.

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On the road, In the air,
I enjoy travel, From here to there.