Vegan, dairy free & gluten free (coconut is a naturally gluten-free food). No artificial colors, flavors or preservatives. mccormickforchefs.com Product of Thailand. We make Simply Asia Coconut Milk from fresh, ripe coconut meat. Simply Asia Coconut Milk is an essential pantry staple and can be used in Thai or Indian curries, peanut satay sauce, and in many soups, beverages, and desserts. Use in place of milk or cream for dairy-free cooking and baking.