Morita equivalence, having arisen first in Algebra, has had a continuing impact on non-commutative analysis, after its introduction into the subject by M. Rieffel in the 1970’s. Studied originally for selfadjoint operator algebras, it was subsequently extended to a fruitful notion in the categories of (non-selfadjoint) operator algebras and operator spaces. In this talk, I will present recent results on a type of Morita equivalence in the category of operator systems. After motivating the question, I will describe how Morita equivalence in the operator system category differs and in what ways it is similar to its counterparts in the other aforementioned categories. I will discuss the non-commutative graph viewpoint on operator systems and highlight how this view allows for richer characterisations of Morita equivaence in the operator system category.