Spiral Perm & Coloring Hair
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The reason you want to do the color service last is because most permanent waves use hydrogen peroxide as a neutralizing agent. As you may know, hydrogen peroxide is also used as a developer in most hair color formulas as well, and the hydrogen peroxide in the permanent wave neutralizer can lighten - or otherwise alter - the color results from your color service.
By waiting to perform the color service after the permanent wave service, you ensure that you end up with the color results you intended to have.
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See also:
How often can I perm my colored hair?
How to wrap a spiral perm
Can I apply semi-permanent color to permed hair on the same day?