Handling Bank Accounts in Different Currencies

 We are wondering what should be the best method in using GL accounts which represent our Bank Accounts in various currencies.  In the end, we want to be able to view the GL account in the currency that it represents (which is not necessarily the functional currency)

Situation is following: 11.5.10.  Functional Currency: USD

We have a Euro bank account represented by a GL account. 

We receive an invoice from a supplier in USD.   For whatever reason, we decide to pay from our EUR bank account, asking the bank to debit us the corresponding value in EUR.

1. We register the AP invoice in USD