In order to be able to apply for a Credit Card or a Bank Loan in Mexico you will need to be a legal resident (showing an FM3 or FM2) and be able to prove your income. You will also need to show a bank account or credit card from your home country.
Credit cards and bank loans in Mexico can be obtained by foreigners if you have a history with the bank and a good credit record at the Buro De Credito.
Requirements vary from bank to bank and are subject to change at the bank’s option. Just make to have all your questions answered when applying for a Loan in