A-320 Eng start Fault-EGT Overlimit.
From the figures given I am assuming your A/C has IAE V2500 Engines on it, as figures for CFM engines are different.
Are you doing Auto -Starts as part of your normal SOP? As in Auto the FADEC sysytem should perform cerftain tasks before shutting down.
FADEC will provide the same level of warnings for any Temp over the Hard Limits as you call them. So you should call Maint whenever this occurs. They have to verify the Temp reached and for how long it was at that Temp. This will dictate the required inspections.i.e visiual or Boroscope.
Your company's AMM will have to be consultaed for requirements.