One of the most important tasks in the development of high-performance spintronic devices is the preparation of two-dimensional (2D) magnetic layers with long-range exchange interactions. embedded graphene layers, with being transition metal elements, are experimentally accessible 2D layers which exhibit interesting magnetic properties. In this paper, by employing the spin-polarized density functional theory (SP-DFT), we study layers with a special focus on the behavior of the indirect exchange interactions and demonstrate that the layers with , Mn, and Co, are 2D anisotropic magnetic layers with Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. By examining the electronic configurations of the atoms for various spacers, we demonstrate that the RKKY interaction in such layers are tunable and exhibit an unusual, prolonged decay (, with . In addition, we isnvestigate the influence of the moiety in the graphene host, and show that, in contrary to the other layers, the 2D layer behaves as decoupled one-dimensional spin chains, regardless of the spacer lengths.