This study investigates the concept of gr-Pe-Jgr-PrySups as an extension of gr-Jgr-PrySub within the framework of Ω-graded commutative rings. Let Ω be a group with identity e, W = ⊕g∈Ω Wg a Ω-graded commutative ring, C = ⊕g∈Ω Cg a graded W-module, and P = ⊕g∈Ω Pg a graded ideal of W. A proper graded submodule U of C is identified as a graded Pe-Jgr-primary submodule if, whenever rg ch ∈ U\Pe U for rg ∈ h(W) and ch ∈ h(C), then either ch ∈ U + Jgr (C) or rg ∈ Gr((U + Jgr (C) :W C)), where Jgr (C) denotes the graded Jacobson radical of C. The paper presents some results concerning the properties and behaviors of this class of graded submodules.