The use of micro-architectured truss-like lattice materials to improve implant osseointegration is getting more attention beyond spinal fusion. Therefore, the main goal of this research is to define the optimal lattice microscopic parameters to maximize bone ingrowth, for fusion spinal cages. A mechano-regulatory model is implemented numerically, to determine the fraction of void space within a structure and the lattice structure that receives optimal stimulation for bone ingrowth. The model was used to replicate previous in silico and in vivo results and showed very good agreement when comparing the different lattice topologies, unit cell orientation, microscopic strut cross-section shape as well as strut size. Characterization of the performance of lattice materials, relevant for osseointegration, is conducted for fourteen unit cell topologies, with ten relative densities, under four axial loadings. Results suggested that Diamond, X-Shape, Tesseract and Rhombic Dodecahedron with horizontal orientation provide the best biomechanical environment.