The addition of graphene at extremely low loading levels can significantly improve the physical properties of polymers, including electrical and mechanical features. The most economically attractive and potentially scalable method for dispersing graphene into polymers is melt blending. However, the majority of chemically modified graphene materials display thermal stability issues. This means that melt blending of graphene has so far been limited to studies which use the thermally stable TRG material. This article provides a summary of studies which have focused on these polymer/graphene composites. It is pointed out that the properties of the composites depend strongly on how well the graphene is dispersed. Technical challenges for further opportunities are also discussed...