A process for making hollow composite structures or vessels which includes the steps of: A) heating a mixture of thermoplastic matrix and reinforcing fibres wrapped over a rigid or semi-rigid thermoplastic liner or bladder above the melting point of the thermoplastic composite matrix outside of a moulding tool; B) transferring the heated assembly to a mould that is maintained below the melting temperature of the thermoplastic matrix of the composite; C) closure of the mould and application of internal fluid pressure to the liner or bladder to apply pressure to the thermoplastic matrix and reinforcing fibres; D) optionally the use of a special coupling system for rapid connection of the internal pressure; E) cooling of the liner or bladder and thermoplastic matrix and reinforcing fibre assembly in contact with the cold or warm mould while consolidation of the assembly occurs; F) opening of the mould and removal of the finished assembly. Suitable thermoplastic materials for the liner/bladder and thermoplastic composite matrix material include: polypropylene, polyamide, polyethylene, cross-linked polyethylene, polybutylene terephthalate, polyethylene terephthalate, polyoxymethylene, polyphenylene sulfide and polyetheretherketone.