I will discuss simple extension of the Minimal Dark Matter (MDM) framework in which a Majorana and two Weyl fermionic electroweak multiplets are coupled to the Standard Model Higgs doublet through Yukawa couplings. In particular I will summarize the generic features of all possibilities starting with a singlet and two doublet (akin to a Bino-Higgsino couple) up to a Majorana quintuplet coupled to two Weyl quadruplets. I will discuss the prospects for searches of thermal candidates provide estimate for the relic abundance of a (quasi-)quadruplet candidate, taking into account corrections from the Sommerfeld effect.