The invention relates to a package with a roll-up re-sealing system and a process for the production of such a package, especially flexible bags. It was the object of the invention to develop a package of the generic kind described, and also a process for producing it which is suitable for the repeated sealing, storage and repeated removal of liquid, dry, powdery, granular or pelletised contents, such that the package is inexpensive to produce, meets the requirements of protecting the integrity of the product, and is user-friendly, characterised in that a package consists completely or partially of a conditioned multi-layer composite material, or that it at least has an adhesive label made from the conditioned multi-layer composite material on one package wall, beginning in the region of the opening, that the package repeatedly rolls up monoaxially, automatically and in a controlled manner, from the package opening in the direction of the bottom of the package as far as the level of the contents at any particular time and seals itself, and that the process of rolling up and sealing is implemented by the properties of the conditioned multi-layer composite material of the package or the adhesive label.