Cut salmon into large chunks; place in a food processor. Pulse several times or until minced. Place salmon in a large bowl; add shallots and next 6 ingredients, stirring to combine. Shape salmon mixture into 8 small patties, cover, and chill at least 30 minutes or until ready to cook.
Heat 2 tablespoons oil in a large skillet over medium-high heat; add 4 patties. Cook 3 minutes on each side or until golden. Repeat procedure with remaining oil and salmon patties. Serve with Yogurt-Cucumber Sauce.