A breast pump comprising a funnel (2) and at least two cone-shaped breast pump inserts (1) interchangeably mountable in said funnel (2) is disclosed. The breast pump inserts (1) each have a central aperture (10,12) therein through which a nipple protrudes when a breast is received in the funnel (2). The diameter of the aperture (10,12) in each breast pump insert (1) is different. A breast pump funnel (2) or insert (1) having a textured finish on a breast interface surface is also disclosed.