A squeezable container for dispensing a product out the open end of the container, including a collapsible inner layer and a resilient outer layer. The container is an integral body formed by expansion from a multi-layer preform, and preferably consists of one or more layers of polyethylene terephthalate (PET) separated by an adjacent boundary layer, such as a barrier layer of ethylene vinyl alcohol (EVOH). A one-way check valve is provided at the outer layer to restrict the flow of air into a chamber which is formed between the inner and outer layers as the inner layer collapses, and preferably a second check valve is provided in the open dispensing end of the container to prevent air from being drawn into the container when the outer layer is released. The container is economical to manufacture, light in weight, easy to handle, can be made of recycled materials, and is "product efficient" in that substantially all of the product can be dispensed from the container during use.