A sandwich wrap comprising a flexible, edible sheet that is adapted to enfold an edible filling whereby the resulting enclosing tube has both ends open and an auxiliary support situated under the lowermost open end when the wrap is held vertically for consumption, thus restraining filling from exiting. A method using an assembly frame positions the auxiliary support. Filling is stocked in a capped filling storage tube comprising at least two components that can be disassembled from inside the edible enclosing tube to give the edible enclosed filling. The food product may comprise a set of separately enclosed different fillings and each edible enclosing tube may be shaped around the filling storage tube to give a cross-sectional form of a circle sector so that the set forms a right circular cylinder. A seepage container assists assembly in advance of an order, to avoid impairment by moisture seeping out of fillings.