Citibank offers the Citibank Plus account with a debit card. This account is designed for people who travel or move money overseas as there are no foreign transaction fees and no ATM fees at Citibank ATMs anywhere in the world. Citibank also offers a range of other accounts and credit products to consider, and it’s worth remembering that each customer will only be issued with one Visa Debit card for however many accounts they have with Citibank.