The present disclosure provides T-cell modulatory multimeric polypeptides (T-Cell-MMP) and their epitope conjugates comprising at least one immunomodulatory polypeptide (“MOD”) that may be selected to exhibit reduced binding affinity to a cognate co-immunomodulatory polypeptide (“Co-MOD”). The epitope may be, for example, a cancer-associated epitope, an infectious disease-associated epitope, or a self-epitope. The T-Cell-MMP-epitope conjugates are useful for modulating the activity of a T-cell by delivering immunomodulatory peptides, such as IL-2 or IL-2 variants that exhibit reduced binding affinity for the IL-2R, to T-cells in an epitope selective/specific manner, and accordingly, for treating individuals with a cancer, infectious disease or autoimmune disorder.