A new and distinct cultivar of Strawberry plant named ‘;FF 1503’;, characterized by its compact, upright to semi-upright plant habit; moderately vigorous to vigorous growth habit; uniform fruit ripening; medium to large conical fruits that are glossy and orange red in color; pleasant fruit aroma and sweet taste; excellent fruit postharvest longevity; and moderate resistance to Phytophthora cactorum and Podosphaera aphanis.