The invention discloses a flexible container sleeve structure, which includes an elongated sleeve defining in series containers and having front and back panels joined to each other along their elongated sides; a first gusset formation provided between the front and back panels forming a base; a second gusset formation provided between the front and back panels forming a top; and a curvature provided in the sides of the front and back panels. The containers being defined by the front and back panels and the gusset formations. The front panel may be imprinted with a graphic of a wine barrel or beer keg. The curvature is convexly curved from the top to the base, thereby adapted to assist in creating the impression of a barrel or keg.