Sorry, got called away.
AA and ICP are good at measuring low levels of metals (ppm or ppb range). If you are analyzing concentrated metal salts, better methods exist. The samples submitted are usually organic. Some sort of digestion is required. This is often done with mineral acids, such as HCl and HNO3. A good working assumption is that the metals in the organic material went to the salt of the digesting acid. If it is hydrochloric acid, you would suspect chlorides are formed. And that is when you start checking chloride salt solubility for the metals you suspect are present. It doesn't always work, but it is a good starting point.
Alternative- use a non-destructive test method such as Energy dispersive x-ray flourescence (EDXRF). This has problems of its own, but can be used to ID elements present.