The purpose of this paper is to de-construct the confusion we have noticed among our students and therapists in Mexico and Spain, in regards to the differences between Solution-Focused Therapy and Possibility Therapy (previously known as Solutionoriented Therapy). In order to achieve our didactic objective, the aims of our paper are two-fold:(1) to describe the basic premises and therapeutic interventions of each model; and (2) to point out the" differences that make a difference" in order to clarify the readers' views about the two models. In addition, the paper includes a short interview with Bill O'Hanlon.