I’ve written a direct deposit payment module based on the cheque payment module for Prestashop. The module allows you to configure your bank account, so that users will be shown the bank account details on checkout. No automatic callback mechanism is included, as different banks use different methods of notification. You will have to update the order status manually through the back office once you receive the payment confirmation from the bank.
This module has been tested with Prestashop 1.3.3
Please read the README file for installation details.
Writing these modules takes time and effort. I appreciate your kind donations by paypal if this module serves your purpose.