A pipes winding process numerical simulation is performed in the coil drawing technology implementing at different reel diameters. The features of the stress-strain state in the process of the pipe winding process are investigated to predict the products properties. The pipe winding process modeling is performed using the finite element method in the DEFORM-3D. The strain distribution color levels for the considered variants are given. The difference in the deformed state is shown. A graph of the deformation value dependence on the reel size and a graph of the martensite depending on the reel diameter are presented. The deformation zone numerical simulation during austenitic steel pipes coil drawing showed a difference in the stress-strain state depending on the reel diameter choice. The calculations also made it possible to predict the martensitic transformation development probability in steel 12X18010T in order to assess impact on the finished products properties. It is established that with a decrease in the reel radius, there is an increase in tensile deformations (in the wall outer layers) and compression (in the wall inner layers) and an martensitic transformation development intensification. The strain degree distributions gradients (along the pipe section) and the characteristic points at which the martensitic transformation occurs most intensively during the winding and pipe bending are established. The results obtained can be applied both to predict the pipe winding implementation, as the coil drawing testamentary stage and to assess the cold deformation effect on the products properties during the heat exchange equipment installation.