From the fake site:
BBI International Bank Limited (CIBL) was granted an Unrestricted "A" Class International Banking License on September 29th, 2003 by the Central Bank of Bahamas and is regulated by the Central Bank of Bahamas which set the standards for liquidity and capital adequacy.
Contact details:
Nassau BBI
Bahamas, Caribbean
011-582-194-2388 or 011-582-194-3083
Fax: 011-582-194-2892
The phone numbers are invalid.
The "bank" pretending to be active since 2003 was registered few weeks ago. From the fake site details:
Domain Name: BBIOFFSHORE.COM
Updated Date: 2018-01-23
Creation Date: 2018-01-23
Registrar Registration Expiration Date: 2019-01-23
Registrar: PDR Ltd. d/b/a PublicDomainRegistry.com
Registry Registrant ID: Not Available From Registry
Registrant Name: Domain Admin
Registrant Organization: Privacy Protect, LLC (PrivacyProtect.org)
This is what the fake site looks like: