NO coconut milk, it is awful for a FM sufferer. It is a fructan (so is coconut meat but pure EV Coconut Oil is fine and quite beneficial).
I am only learning about all of this now after finally self-diagnosing myself with Fructose Malabsoption. Until now, for almost 2 years I thought I was gluten intolerant. When I found MDA and switched to eating primaly, I felt absolutely fantastic UNTIL I started adding fruit back into my diet and experimenting with coconut curries big time, lol. Now that I know what is going on, I feel fantastic and happy again. Primal Diet works amazingly well for Fructose Malabsoption as long as you stay away from free fructose AND fructans (wheat, coconut, onion family, etc.)