A composite netting is used for wrapping bales with a baling machine. The composite netting includes a continuous netting component, and a discontinuous, breathable material component. The breathable material component is partially attached to the netting material. In some embodiments, the breathable material is attached only along the leading edge of each breathable material panel. As a result of the attaching technique the stretching properties of the netting are not transferred to the breathable material. Thus, each component of the netting retains its individual properties. Each bale is initially wrapped with about one wrapping of netting material, followed by about one wrapping of breathable material and a partially attached net that is continuous from the first section. After this, one or more additional netting layers may be applied if desired.