The crystal structure of R2T(Ni,Co)Si3 consists of hexagonal layers of rare-earth atoms and randomly distributed T-Si arranged alternately along hexagonal c-axis. Magnetic frustration in these types of compounds arise primarily due to competing exchange interactions and random distribution of T/Si. Such variations of the local environment among the rare earth ions are conducive of coexistence of magnetically different phases having spatial limitations in an otherwise crystallographically single phase compound. On the basis of physical characterization, it is found that the ground state magnetic interactions in these compounds are quite complex. MuSR measurements is an ideal probe to investigate the nature of local magnetism. Here we propose to investigate the local ferromagnetic and antiferromagnetic coupling in R2T(Ni,Co)Si3 compounds through MuSR measurements at different temperatures.