Discrete Damage Modeling (DDM) and Independent Mesh Method (IMM) are applied to progressive damage analysis in angle-interlock woven 3D textile composites in local regions in complex structural parts. A blended global–local approach applied previously to notched composite coupons is applied to a pi-joint model. The transition region between the base of the pi and the leg of the pi is modeled using a meso-level model including textile tows embedded in the matrix by using IMM. The flat portions of the leg and the base of the pi are modeled by using homogenized properties previously determined computationally. Due to the complex shape of the textile tows in the transition region, resulting in difficulties of hexahedral meshing, Rx-FEM enabled quadratic tetrahedral elements were implemented and the IMM extended to embed them into hexahedral element-based resin region. Shear loading of the pi along the length of the web was modeled. This produced progressive damage growth during simulation, leading to displacement discontinuities.