What is the best process for expenses debited directly from our bank accounts

Summary

Should expenses debited directly by suppliers be booked and paid in AP? If yes, how to reconcile the payments with the statement?

Content

Some suppliers, such as mobile phones operators, debit our bank accounts directly. The bank statement shows one line per invoice, which results in multiple lines with the same amount.

Our target process consists in booking invoices in AP and paying them using Pay Alone and a method that would not generate any payment file, but only record the payment on the bank GL account. With this process, we need a bank statement reconciliation criteria more precise than date and amount, since we can have lots of invoices with the same amount and date.