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Remove the salmon and rinse well with water, being sure to remove all of the salt. Discard the skin and dice the fillet into 1/4-inch cubes. Measure out 2 cups of salmon cubes.
In a bowl, mix together the salmon, onions and tomatoes with your hands. Don't be shy; "lomi lomi" means "to massage" in Hawaiian. Refrigerate until cool, 30 minutes to 1 hour, and then serve.