We study an extension of the Standard Model (SM) in which two copies of the SM Higgs doublet are added to the scalar sector. These extra doublets do not develop a vacuum expectation value, hence, they are inert. This essentially leads to a 3-Higgs Doublet Model (3HDM) with 2 inert and 1 active scalar doublets, which we denote as I(2+1)HDM. We allow for CP-violation in the inert sector, where the lightest inert state is protected from decaying to SM particles through the conservation of a Z2 symmetry so that it is a Dark Matter (DM) candidate. Such a source of CP-violation from the inert sector do not contribute to the Electric Dipole Moments and are therefore unconstrained. In this talk, it will be discussed which new phenomenology arises in a model that includes such a CP-violating phase. We will explore how this CPV source relaxes some region of parameter space that are excluded in the CPC case due to the relic density measure or direct and indirect experiments. We will also show collider phenomenology that is related to the presence of this CPV phase.