Infusion systems, infusion devices, and related operating methods are provided. An exemplary method of alerting a user associated with an infusion device delivering fluid to the body of the user involves obtaining a first value for a physiological condition being influenced by the fluid, determining a metric corresponding to a future physiological condition of the user based at least in part on the first value, and automatically generating a first alert based on the metric. After automatically generating the first alert, the method continues by obtaining a second value for the physiological condition of the user and automatically clearing the first alert based at least in part on the second value.