The ground state magnetic behaviour of Ce(PdAg)In and Ce(PdAg)In, found in the ferromagnetic branch of CePdIn, has been investigated by neutron powder diffraction at low temperature. Ce(PdAg)In is characterized by a ferromagnetic structure with the Ce moments aligned along the c-axis and values of 0.96(2) µ . The compound retains the P4/mbm throughout the magnetic transition, although the magnetic ordering is accompanied by a significant decrease of the lattice strain along [0 0 l], suggesting a magnetostructural contribution. The magnetic behaviour of Ce(PdAg)In is very different; this compound exhibits an extremely reduced magnetic scattering contribution in the diffraction pattern, that can be ascribed to a different kind of ferromagnetic ordering, with extremely reduced magnetic moments (~0.1 µ ) aligned along [0 l 0]. These results point to a competition between different types of magnetic correlations induced by Ag-substitution, giving rise to a magnetically frustrated scenario in Ce(PdAg)In.