In this talk we will be looking at conditions on a plane continuum $X$ (not necessarily locally connected) that guarantee the existence of four points in $X$ that are the vertices of a Euclidean Square (in which case we say that $X$ admits an inscribed square). In particular we show that ‘‘certain type of square inscription´´ is generic among continua that separate the plane. The motivation of this work comes from the square peg problem: Does every Jordan curve admits an inscribed square?