Cut the fresh salmon and the smoked salmon in 1/4-inch dice. Place the salmon in a mixing bowl and add the lime juice, shallots, olive oil, dill, capers, two mustards, salt, and pepper. Mix well, cover with plastic wrap, and refrigerate for a few hours for the salmon to marinate.

When ready to serve, toast the bread and taste the salmon for seasonings. Serve the tartare with triangles of the toast.

Warning: Consumption of raw or undercooked shellfish may substantially increase the risk of foodborne illness.