The inspection crtiteria is driven by the Maint shcedule for the aircraft and the maint manual ref (AMM page block 601) will tell you what to look at.
If the damage found is not then covered by the aircraft SRM and you know the item is manufactured by a sub contracted company and they provide a vendorrs CMM (component maintenance manual), then you have a shufty through that for repair solution.
You have to be careful here about authority to repair IAW CMM though. If it is off wing, the part needs to be in your company capability list (in the MOE, Maint Org Expositio) for you to be able to repair it as a stand alone component and issue an EASA Form one.
If your vendor provided part IS covered in the A/C SRM then you use that as your repair authority on or off wing.
IF the damage is in neither manual then you approach the A/C manufacturer for a repair with design authority confirmation (RAS etc)
Hope that helps a bit, difficult to get accross easily.