The disclosure relates to punch die apparatus, related thermoforming press apparatus, and methods for thermohydroforming die-punched parts formed therefrom, in particular from sheet blank substrates such as polymer composite materials and metals. The disclosure further relates to thermohydroforming blanks incorporating a vacuum-sealed outer film, in particular polymer composite blanks which can be used in combination with the disclosed apparatus. The apparatus and methods are particularly suitable for thermohydroforming parts with complex deep drawn geometries yet which retain relatively smooth outer surfaces and internal material structure. The apparatus and methods provide a fast and efficient means for composite part manufacturing.