A novel fabrication process for preparing continuous thermoplastic nanofibrillary structures by using the conventional melt spinning method of thermoplastic polymer fibers is developed. Poly(lactic acid) nanofibrils with average diameter of 60 nm are obtained by processing water soluble poly(vinyl alcohol) (PVA) and poly(lactic acid) (PLA) blends at weight ratio of 70/30 and subsequent removal of the PVA matrix. The textile physical properties (tensile and elongation properties) of the PVA/PLA filaments are investigated and interpreted. Produced 2D and 3D PLA textile structures are promising candidates as scaffolds for tissue engineering. Using the conventional melt spinning method and selecting PVA with the properties of “green polymer” as a matrix component, this fabrication process therefore provides an optimal solution to handle important scientific challenges at the present time: the economic and environmental friendly fabrication of highly specialized products for medical purposes.