This short review updates an exhaustive one written by Correa et al in 2019 about haptic training simulation on needle insertion in the medical field. b) Recent findings: Latest works refine wellknown models and enhance setups and methods to facilitate generically getting experimental data. c) Summary:We provide a complementary focus on device specifications and recent models to render this specific haptic feedback on Computer-Based Simulators. Assessment approaches and the issues encountered when introducing such simulators into curricula are also discussed. FEM-based approaches still do not permit real-time computation but hybrid approaches as proposed by [1] may become a good compromise. Nonetheless, psychophysical studies should be performed to determine the haptic fidelity of the various approaches found in the literature, and embed them efficiently in medical curricula. This would permit to delay the necessary final hands-on training on patients that raises ethical issues.