Empty the tuna fish into a colander. Drain and rinse with cold water for 20-30 seconds. Using the back of a spatula, GENTLY press any remaining water. Set aside.
In a large bowl add the mayo and pepper. Next, add the tuna fish, dill and green onions.
Using a spoon or spatula gently mix to combine. Try not to break up all of the chunks as you want some chunks for texture and body.
Taste and if desired, add additional mayo. Serve immediately or cover and store in the fridge for up to 5 days.