As the ATL/AFP processes use a roller in all cases while laying the fiber-impregnated strips, this causes some inherent limitations in the part shape that can be produced.

Figure 1. The Automated Fiber Placement (AFP) System by the Addcomposites team
The limitation mainly comes from:
Mold

The shape of the part required decides the shape of the mold. The mold is often the biggest roadblock in the initial stages of production.