romania offshore account

I moved to Romania two months ago. Even if I rent an apartment here and have a temporary residence permit, all the banks have asked for another address in my home country. Even if I told them, I don't even live there, they just said it didn't matter. Even when the lawyer firm formed the company...

Hi, I'm from Romania and looking for some stable offshore bank where I can get an account that includes debit card to be used in the ATM here and Internet banking so I can send money and do the administration of the bank account online. What is the best bank offshore you know about for this...