An extrusion die head for the extrusion of hollow or center-filled shapes as well as apparatus comprising the extrusion die head and methods employing the die head. The extrusion die head (10) is for the preparation of a plurality of center-filled products (34) of varying composition wherein each product comprises a first (filling) material and a second (outer) material. The die head comprises at least one tube (22) such that a first material may be extruded through the tube or tubes and a second material may be extruded around the tube or tubes. The location and the number of the tubes may be customized to vary the location and amount of the first material relative to the second material and thereby vary the composition of the center-filled product. The extrusion die head apparatus comprises a sleeve (40) enclosing the die head. In one embodiment a first material is conveyed from one or more first apertures (18) via one or more tubes (22) to one or more second apertures (20) where it is extruded. Simultaneously, a second material is supplied directly to the remaining second apertures (20) where it is extruded.