A process of fabricating a composite vessel includes the steps of: A) fabricating a thermoplastic liner for the vessel; B) overlaying a layer comprising fiber and a thermoplastic material (preferably by winding commingled filaments, rovings or yarns) onto the thermoplastic liner to obtain a composite intermediate structure (the fiber and thermoplastic material can be heated if desired during the overlaying, e.g. winding, step); C) heating the composite intermediate structure in a mold while applying at least one force thereto tending to urge the composite intermediate structure against and into shape of the interior walls of the mold; D) continuing step C) until the thermoplastic liner and the overlaid layer consolidate to form a composite vessel; E) cooling the mold and composite vessel until the composite vessel is solidified; and F) removing the formed composite vessel from the mold. The at least one force applied during step C) may be obtained by introducing gas pressure into the interior of the composite intermediate structure. Suitable materials for the thermoplastic material include: polyethylene, polypropylene, polybutylene terephthalate and polyethylene terephthalate. The resulting composite vessel exhibits superior mechanical and aesthetic properties.