Supplemented modules and $\oplus$-supplemented modules are useful in characterizing semiperfect modules and rings. Recently, the notion of cofinitely supplemented modules and $\delta$-supplemented modules were introduced as generalizations of supplemented modules. In this paper, $\oplus − co f_{\delta}$- supplemented and cofinitely δ-semiperfect modules are defined as generalizations of $\oplus$-cofinitely supplemented modules and cofinitely semiperfect modules. Several properties of these modules are obtained.