If G is a connected reductive linear algebraic group defined over F, a non-Archimedean local field, then all of its maximal tori are conjugate over the separable closure of F. But when are two maximal tori of G rationally conjugate, i.e. conjugate by an element of G(F)? Are there circumstances under which we say what it means for maximal tori in two different groups to be conjugate? In this talk, we will endeavor to answer these and some related questions. Along the way, we will go over a small example in detail, and we will review some properties of Galois cohomology as well as the notion of what it means for two connected reductive groups to be inner twists of each other.