Major banks such as Chase, Wells Fargo, Bank of America, and Wachovia may open accounts to people listed in Chexsystems for a one time error, according to the website ChexsystemsVictims. However, those who have chronic problems managing a checking or savings account will likely be denied an account from a large bank. SunTrust is another bank that opens accounts to people listed in Chexsystems, even multiple times, but does not have as many national locations as some of the aforementioned competitors.