A container comprising a substantially rigid body formed at least partially of transparent material and having a neck defining an opening providing access to the container cavity, and a bag positioned in the interior of the body. The bag being formed of thermoplastic material and having a neck from which there radially extends a flange which rests on a free edge of the neck of the body and defines a hole for providing access to the cavity of the bag and for sealedly housing the body of a hermetic pump operable manually to withdraw the fluid substance from the bag and feed it to the outside through its dispensing stem. The bag being formed by hot blow moulding of a preform positioned directly within the container. A decorative and/or informative sheet detached from the opening being interposed between said container and said bag, and being visible from the outside of the container.