In this paper, we introduce the notion of FI-retractable modules which is a generalization of retractable modules. A module is called FI-retractable if for every nonzero fully invariant submodule N of M, Hom(M, N) ̸= 0. In this article, we continue the study of FI-retractable modules. Amongst other structural properties, we also deal direct sums and direct summands of FIretractable modules. The last section of the paper is devoted to study of End(M), such that M is FI-retractable.
