If you are looking for a visa card that support online purchase., Now you can go for Alinma Bank debit card, it supports online purchasing (Both CVV and Verified by Visa)
You can use this card with any website that accept Visa for purchasing. This card supports paypal and other e-wallet accounts.
Bank also providing a option to enable /disable internet purchasing feature by online or phone banking
How to Open Alinma Bank account
Opening an account with Alinma bank is very easy, Click Here and fill up account opening online form. Then just go to any of the branch and complete.
No need any letter from sponsor or initial deposits.