Projective Fraisse theory was introduced by Irwin and Solecki to study the pseudo-arc, a compact connected one-dimensional arc-like hereditarily indecomposable metric space. It is a dualization of the classical Fraisse theory from model theory. Since then the projective Fraisse theory and its variants has found many applications in studying compact metric spaces and their homeomorphism groups. Examples of such spaces include: the Lelek fan, the universal Menger curve, the universal Knaster continuum or the Poulsen simplex. Moreover, continua unknown before were discovered using these methods. I will discuss recent developments in this area.