A method of wrapping a circumference of a cylindrical bale in web of surface wrapping material is disclosed. In order to eliminate the drawbacks of rolls being heavy and difficult to handle, and/or sized such that the number of bales that can be made from such rolls is less than that desired by customers it is proposed that the method comprises providing a plurality of wrapping material supply rolls (100,102,104,106) each comprising a web of bale surface wrapping material (112,118,124,130) said plurality of rolls having a combined length approximately equal to a length of a cylindrical bale to be wrapped; and simultaneously advancing wrapping material from said plurality of wrapping material supply rolls and simultaneously applying wrapping material, respectively from said plurality of supply rolls to a circumference of said cylindrical bale so as to cover at least a substantial portion of the length of the circumference of said bale with wrapping material from said plurality of supply rolls. Further it is proposed to provide a combination of a round baler and a respective wrapping material dispensing mechanism (23).