Ideally the solution would be to edit the model of one of the overlapping edges to allow for less overlapping. If that is not possible the only way to sort meshes like that is via the Bounds Scale, found under rendering in the Mesh’s details panel. You can increase that amount on the mesh you want to render on top by a very SMALL amount (1.5 <–HUGE, think smaller). Too much and it always render on top of things you don’t want it to and too small and it will not solve the overlapping you are experiencing. A couple of warnings, Lighting may be effected by adjusting this setting as well AO and other Mesh based calculations, so remember you may solve one problem but create more.