What is the address for first national bank of south miami? 5750 Sunset Drive. South Miami, FL 33143. About The First National Bank of South Miami. The First National Bank of South Miami was established on April 3, 1952. Headquartered in South Miami, FL, it has assets in the amount of $594,940,000.Does first national bank of south miami charge data rate charges? Data rate charges from your service provider may apply. First National Bank of South Miami is not responsible for these charges. iPhone and iPad are trademarks of Apple Inc., registered in the U.S. and other countries. FNBSM helps protect your information by using 128-bit SSL encryption technology within mobile banking sessions.How does fnbsm protect my personal information? FNBSM helps protect your information by using 128-bit SSL encryption technology within mobile banking sessions. You can print and review the FNBSM Mobile Banking Terms & Conditions . Deposit products offered by First National Bank of South Miami, Member FDIC.What is the best local bank in miami? First National Bank of South Miami is truly one of the best local banks in Miami. The staff is great and have all been with the bank for years. I've been banking with them since 2001 and have remained a loyal customer of theirs even while I lived in Delray Beach for 5 years.