An assembly for finishing an edge of an insulating concrete form wall includes at least one elongated body having two surface portions coupled together with an intermediate portion positioned between the two surface portions in a substantially parallel position. The intermediate portion is dimensioned for enclosing an end of a side panel of an insulating concrete form block and a portion of the concrete within the wall. At least one of the two parallel surface portions is dimensioned for covering a portion of the side panel proximate to the end. A plurality of retention members are positioned along the at least one elongated body. Each retention member is adapted for receiving and securing a coupling device for coupling to an internal structural support member within the concrete of the wall.