price list not sharing its base price list's currency

Is there any way to have a price lists based on another one, while their currency is different?

The goal is to have two price lists with different currencies while maintaining only one of them.

I know the document's currency will be the BP's currency, but would like to see the right currency also at the unit price, and have the total independent on the exchange rates. Doing it with DTW would only be a one time solution, not dealing with modifications which may be made later.