Abstract: A method of carrying out adoptive immunotherapy by administering a subject an antigen-specific cytotoxic T lymphocytes (CTL) preparation in a treatment-effective amount is described. In the method, the CTL preparation is preferably administered as a preparation of an in vitro antigen-stimulated and expanded primate CTL population, the CTL population: (i) depleted of FoxP3+ T lymphocytes prior to antigen stimulation; (ii) antigen-stimulated in vitro in the presence of interleukin-21; or (iii) both depleted of FoxP3+ T lymphocytes prior to antigen stimulation and then antigen-stimulated in vitro in the presence of interleukin-21. Methods of preparing such compositions, and compositions useful for carrying out the adoptive immunotherapy, are also described.