According to http://forge.prestashop.com/browse/PSCSX-4331 this should have been solved in 126.96.36.199. Maybe it is not exactly the same problem.
I noticed the problem when I made a credit card payment. However the problem can be reproduced with bank wire payment. I have configured the order state "Awaiting bank wire payment" as shown in the attachment. I.e. I have enabled delivery slips.
If you place an order using bank wire you will see a double payment.