Combine the water, pureed ackee, salt, pepper and 1 1/4 cup of the coconut milk in a heavy bottomed dutch pot with high sides (use a pot bigger than you think you need as the grits will bubble and sputter)
Bring the mixture to a boil then steadily pour in the grits while whisking.
Keep stirring until the mixture comes up to a boil.
Cover pot and turn down to low.
Let cook 35 to 40 minutes stirring with a wooden spoon (or silicone spoon/spatula) every 5 to 10 minutes to ensure the grits don’t stick to the bottom of the pot
When done, mix in the remaining coconut milk a little at a time till desired consistency is achieved.