Bank accounts may be opened anywhere in the world for a BVI Offshore Company.

An offshore company can open a bank account at any bank in the world. Please be aware that banks will be more vigilant on their due diligence requirements when a company was incorporated in an offshore jurisdiction. Other than that, the procedure is the same as any other company opening an account with a bank. 

If you want to open a bank account in the BVI for your offshore company we would recommend: 

FirstCaribbean International Bank
http://www.firstcaribbeanbank.com/    

If you are having difficulty opening a bank account for your BVI offshore company you should open an account in the BVI. The bank account opening can be completed without visiting the BVI bank and the account can be operated online.  Various banking services are available to meet your needs.      

FirstCaribbean International Bank Account Opening Forms.