The key establishment standard Module-Lattice-Based Key-Encapsulation Mechanism (ML-KEM) is derivated from CRYSTALS-KYBER. It was designed to resist future attacks by quantum computers. While this scheme is today “mathematically” secure, their implementations can be vulnerable to physical attacks. After a brief introduction to this algorithm, we will provide an overview of existing side-channel and fault injection attacks in the state of the art. We will also cover some protections that were proposed in the literature to secure implementations of the ML-KEM.