The present disclosure relates to apparatuses and methods for making patterned apertured substrates that may be used as components of absorbent articles. During the manufacturing processes, a precursor substrate advances in a machine direction between a pattern roll and an anvil roll. The pattern roll rotates about an axis of rotation and includes a plurality of pattern surfaces, wherein the substrate is compressed between the anvil roll and the pattern surfaces of the pattern roll to form discrete bond regions in the substrate. The pattern surfaces on the pattern roll are formed on continuous threads extending circumferentially around the axis of rotation along helical paths parallel with each other. As such, the pattern surfaces press the substrate against the outer circumferential surface of the anvil roll in the different axial locations along the cross direction as the pattern roll rotates when forming the discrete bond regions.