Abstract: Disclosed herein is an invention that relates to packaging techniques and, in particular, to a process and a device for overwrapping containers and the like that hold edible products needing constant aeration.The technical problem that has to be solved is how to achieve the foregoing without either obstructing the aeration or having to resort to the use of overwrapping nets that are particularly expensive and none too easy to place in position.The solution to the problem is attained through a process for overwrapping containers and the like that hold edible products, and this consists in: reeling a band of film that can be tension deformed, dividing the said band into a plurality of strips placed, one at the side of the other, parallel to the axis of the said reel, and applying tension to the said strips prior to their being placed in contact with the containers to be overwrapped, in such a way as to obtain a shrinkage in width and a set spacing of one strip with respect to the other.