Gromov's classification of groups acting on hyperbolic spaces exactly classifies the 5 different possibilities that can arise in this situation. Of these, quasi- parabolic actions are the least understood and several questions remain unanswered in this regard. In this talk, I will talk about the motivation behind our work, and describe some known structural results related to quasi-parabolic actions. I will also talk about a new construction, developed by me, C.Abbott and A.Rasmussen, that allows us to build quasi-parabolic actions for new groups. This construction is a generalization of the work of Caprace-Cornulier-Monod-Tessera from their paper 'Amenable hyperbolic groups'. As a result, we are able to completely classify the quasi-parabolic actions of certain groups on hyperbolic spaces.