Using a sharp knife, cut the fresh salmon and smoked salmon in very small cubes of approximately 1/4-inch. Throw that in a mixing bowl along with the rest of the ingredients and mix delicately until well combined. Cover with plastic film and place in the refrigerator to marinate for about 2 hours to allow the mixture to firm up and flavors to fully meld.
When ready to serve, divide the salmon into 4 equal servings and press each serving into a round cookie cutter. Pack the fish down lightly with a spoon and remove the ring.
Garnish with fresh herbs and a drizzle of extra-virgin olive oil if desired.
Serve immediately with something crunchy like crackers, tostones or fresh vegetables.