California International Bank, N.A.'s Online Banking Solutions. We bring you a powerful and versatile package of Internet products and tools that give you a variety of possibilities for managing your cash flow and transactions for either personal or business use. History: California International Bank, N.A. is a minority-owned community bank devoted to serving the financial needs of the Vietnamese business community in Southern California. It offers checking accounts, savings and investment products, loans, ATM and debit cards, payment processing solutions, and online banking services. California.