There is no requirement in Florida that a registered owner of an automobile carry bodily injury liability coverage. Your chances of recovering a substantial settlement against an uninsured driver are slim, unless that person has substantial assets to pay any judgment rendered against him. Uninsured Motorist (UM) insurance coverage, if you carry it on your own automobile, will be available to you in the event that you sustain a serious injury caused by an uninsured or underinsured driver.