Despite the popularity of the Ti6Al4V alloy in many biomedical applications owing to its lightweight and mechanical properties, the applications of sheet metal-formed parts are often limited to simple shapes due to their poor strainability exhibited at room temperature. To overcome the present limits, new processes have been developed, among which the Hot Single Point Incremental Forming (HSPIF) appears as one of the most promising solutions to improve the formability as well as the shape complexity. However, there are some obstacles to its practical implementation including instability in material deformation and achievable accuracy. The present paper provides the most recent finding in the investigation of the SPIF process at a high temperature of a titanium acetabular cup by Finite Element (FE) simulations and optimization procedure. FE models were developed using ABAQUS software and the constitutive parameters, both of the material and the process were calibrated to inspect the minimum geometric errors and to avoid damage in the final component. Based on effective strategies of metamodeling, an application of four recent meta-heuristic algorithms Multi-verse MVO, Moth-flame MFO, Harris Hawk HHO, and Marine Predictor MPA is presented. The computational results prove that the evaluated techniques are very competitive in geometry optimization. Among these four optimizers, MPA is the best one that quickly estimates the pillow defect in HSPIF.