A compostable backing foil is composed of at least two layers and has a low tendency to curling and on one side gloss values lower than 10, measured according to DIN 67 530 at a 20 DEG angle. The outer layer of the foil, which has the lower gloss values, contains 1-80 % by weight of a uniformly distributed filler with a mean particle size < 22 mu m. The individual layers of the polymer-resin layered structure contain as matrix materials polymers from the group composed of (I) aliphatic and partially aromatic polyesters; (II) aliphatic polyester urethanes; (III) aliphatic-aromatic polyester carbonates; (IV) aliphatic polyester amides.