Discomfort when using lower limb prostheses is still a major problem, leading to limited use of the prostheses and reduced mobility of the patient. The production of the socket is still more or less handcrafted, and modern Computer Aided Engineering (CAE) technologies are rarely used due to the time-consuming and complex process. However, several researchers have already shown that the transfer of Computer-Aided Design and Finite Element Modelling to the practical work of socket and liner design, a better fit socket can be obtained for improved comfort and safety. In Finite Element Modelling, static analysis has been predominant until now, although many previous researchers have suggested that dynamic computer simulations should be used to simulate the socket-limb interaction. This paper aims to present past efforts in Computer Aided Design and simulations of prosthesis socket fit, and to present state-of-the-art technologies. Also presented are the capacity and limits of transient computer simulations. Furthermore, based on the paper review, we want to investigate to what extent this technology is used in everyday prosthetic work. As we can see, the technology for the data-driven design of lower limb prostheses is already available, and provides improved results in comparison to traditional methods. However, CAE and numerical simulations still present too high an effort to benefit ratio.