In an embodiment, a processor includes at least one core and power management logic. The power management logic is to receive temperature data from a plurality of dies within a package that includes the processor, and determine a smallest temperature control margin of a plurality of temperature control margins. Each temperature control margin is to be determined based on a respective thermal control temperature associated with the die and also based on respective temperature data associated with the die. The power management logic is also to generate a thermal report that is to include the smallest temperature control margin, and to store the thermal report. Other embodiments are described and claimed.