The new and distinct cultivar of perennial Salvia plant named ‘Ballerina Pink’ characterized by its very large light pink flowers from purplish red buds, densely arranged in verticils. The new plant has a compact habit with stiff, upright, heavily-branched stems showing slight greyed-purple tinting and persistent calyxes of similar greyed-purplish red tinting, a strong vigorous growth rate and gray-green foliage.