A new and distinct Schlumbergera truncata plant named ‘PKMSC02’ particularly characterized by large upright to vertical flowers; flowers which have petals which are greyed-orange (RHS 169A) and a red-purple throat (RHS 71D); large quantity of flowers per plant; moderately vigorous and freely branching habit; and ovoid to lanceolatoid buds, which are greyed-orange (RHS 169A) in color.