This is how I actually applied for Eon VISA DEBIT CARD, This is very simple especially when you have all the requirements needed by the Bank. 

The first thing you should do is to visit their website.

Then, click for the Eon, this time it will show you the eon main page. After that you will see the Eon Online Application, try clicking it and then you will see the word apply now. 

Just click the word apply now, Then fill-out the the required information needed by the bank.

After finishing the procedure, You will receive the reference number through sms, you may now claim your Eon Visa debit Card from the branch you have selected, but you have to bring at least two Valid Id's required from the bank.

Here is the following valid ID's you may bring,Passport, including those issued by foreign governments

Seaman's Book, Driver's license, NBI Clearance, GSIS e-Card/SSS card, License to own/Permit to carry firearm, Professional Regulatory Commission (PRC) identification card/Integrated Bar of the Philippines (IBP) identification cards, Tax identification card, Alien Certificate of Registration (ACR)/Immigrant Certificate og Registration (ICR)/Special Investor Resident Visa (SIRV)/PRA Special Resident Visa (SRRV), OFW identification card, Government Office and GOCC identification cards (e.g., Armed Forces of the Philippines, Home Development Mutual Fund, etc.), OFW identification card,Philippine Health Insurance Corporation (PhilHealth) identification card, Certification from the National Council for the Welfare of Disabled (NCWDO), Police clearance, Digitized voter's identification card, DSWD Certification, Company identification cards issued by private entities or institutions registered or supervised or regulated either by the BSP, SEC or the Insurance Commission, Senior Citizen identification card, Postal identification card or Barangay certification.

Make sure that the Id you brought have the same penmanship, when we presented the PhilHealth in Union Bank-Kalookan Branch in 9th avenue won't accept it, for the reason that it doesn't really verify your Identification.

For those students, A student ID will be accepted and NBI Clearance.