The MoEDAL experiment at the LHC is optimised to detect highly ionising particles (HIPs) such as magnetic monopoles, dyons and (multiply) electrically charged stable massive particles predicted in various theoretical scenarios. It combines (passive) nuclear track detectors with HIP trapping volumes. The detector concept and its physics reach is presented here with emphasis given to the recent result of monopole search considering pair production via photon fusion and to future prospects for searches for supersymmetry. Current and future detector extensions are also discussed.