There are 11 species in the genus. Zoysia japonica, Z. matrella and Z. sinica are common species in the genus. Not sure what you mean by can fungi colonize the grass? Rhizoctonia solani is a common pathogen of the grass with the common name being Large Patch.
I will use the Glomus mosseae and other Glomus Species to check the diversity of AM fungi. I shall not deal with the pathogens. I have AM fungal species. I just want to inoculate AM fungal species with legume and grass species.