A bale wrapping device (12) for enveloping a bale (34) with an enveloping material (38), having a receiving apparatus (42) for receiving the bale (34) during the enveloping operation, and having at least one wrapping arm (36), is proposed, wherein the receiving apparatus (42) is configured to be adjustable in such a way that the bale centre point (60) of the bale (34) to be enveloped takes up an at least substantially identical position with respect to the at least one wrapping arm (36) for different bale diameters (D, D', D"). Also described are a harvesting appliance (10), preferably of the baler, combination baler or bale wrapping appliance type, having a bale wrapping device, and a method for adapting a bale wrapping device (12).
