- Brush bottom and sides of a 13 x 9 baking dish with coconut oil or melted butter. Set aside 
- In a large pot, combine coconut milk, evaporated milk, condensed milk, and sugar. 
- Bring to a gentle boil, stirring regularly, until sugar is dissolved. 
- Add 2 cups of the fruit cocktail and stir to distribute. Cook for about 1 to 2 minutes. 
- In a small bowl, combine water and cornstarch. Stir well until cornstarch is dissolved.  
- Gently add cornstarch mixture into milk mixture, whisking vigorously to prevent lumps. Continue to cook, whisking continuously, until mixture thickens to a thick paste. 
- Transfer mixture into the prepared dish, smoothing top with a lightly oiled spatula or knife.  
- While still warm garnish top with the remaining ½ cup fruit cocktail. 
- Allow to slightly cool, cover and refrigerate for about 1 to 2 hours or until completely cooled and set. 
- Sprinkle top with shredded cheese and cut into serving pieces.