The unprecedented collision energy of the LHC has opened up a new discovery regime. The first LHC dedicated search experiment, MoEDAL, has inaugurated searches optimised for long-lived particles. MoEDAL is designed to search highly ionising avatars of new physics using proton and heavy-ion collisions at the LHC. The upgrade for MoEDAL at Run 3 — the MAPP detector (MoEDAL Apparatus for Penetrating Particles) — will extend the physics reach to include feebly interacting, long-lived messengers of physics beyond the Standard Model. This will allow the exploration of a number of models of new physics, including dark sector models, in a complementary way to that of the main LHC detectors. This paper focuses on physics results, current status and plans for the Run 3 and beyond.