Improved container for messy products which is made up of a framework (17) covered by a superposition (14) of membranes (15a to 15d), each of which is equipped with means of assembly by adhesion of at least part of at least one of the contact faces thereof to the contiguous membrane or membranes allowing said membranes to be separated by a peeling effect, said means of assembly consisting of a multitude of mechanical catching protuberances (16). The improvements made to this container relate on the one hand to the nature of the materials used for making the various components of this container and, on the other hand, to novel methods for obtaining some of said components.