A web wrap apparatus (18) has a separator (42) with a separating edge (96) deflecting a web (32) against a counter member (94) to separate it. In or at the counter member (94) retainers (130) are provided, which protrude the web (32) and avoid thus, that the web (32) glides along the counter member (94) towards its center area. Preferably the retainers (130) are formed as teeth in a wall of an inverted V-shaped counter member (94).