Shape Memory Alloys (SMAs) have various applications in the field of medical science due to its superior properties such as pseudoplasticity, shape memory effect, biocompatibility, high specific strength, high corrosion resistance, high wear resistance and high anti fatigue property. The machining of TiNi shape memory alloys by traditional processes is very crucial due to poor thermal conductivity, poor surface finish and burr formation. Hence, to overcome these problems the non-conventional machining process viz. water jet machining, electrical discharge machining, laser beam machining, etc. are more suitable to machine SMAs. The appropriate non-conventional machining process EDM/wire EDM, provides better machining and surface characteristics during machining of SMAs. The objective of the current work is to identify the research gap for SMAs during their machining by the EDM and Wire EDM process and to identify the future prospective of SMAs for different applications in the field of biomedical.