Abstract: A device for cutting a moving web of textile material as it passes the device, and for sealing the cut edges of the material, having an electrically heated cutting member capable of severing the material as it passes the cutting member, and an electrically heated sealing member downstream from the cutting member relative to the direction of the moving web and positioned to contact and seal the edges of material cut by the cutting member as the edges pass over the sealing member. The sealing member is heated to a temperature somewhat higher than that of the cutting wire, the sealing member having a width larger than that of the cutting member transverse to said direction, and preferably being in the form of a cylinder. The invention also includes a process using the special cutting member/sealing member combination.