steam blow box or an equivalent steam and or moisture application device 22b is arranged in connection with the reeling drum 22 in the exemplifying embodiment of the invention illustrated schematically in fig2 the paper web w is unwound in an unwind station 60 from a reel 61 and the web w is passed over alignment guide rolls 62 63 64 to a slitter 65 from which it is further passed over alignment guide rolls 66 67 to a drum winder 70 in the drum winder 70 the web w is wound into a paper roll 71 on support of winding drums 68 and 69 and in connection with the winding a rider roll 72 is employed reference numeral 73 denotes a roll transfer device with a view toward controlling curl of the web w in connection with such an assembly of equipment various devices are arranged to control the curl for example in connection with the alignment roll 63 and or 66 it is possible to position steam blow boxes 63a 66a or equivalent steam and or moisture application devices in connection with the winder 70 and more particularly in connection with the winding drum 68 it is possible to arrange a steam box 68a further the winding drum 69 may be a steam roll into which a steam blow zone or steam treatment zone 69a is formed or a steam pipe 71a.