An apparatus for making inflated containers from a film web having two juxtaposed film plies generally includes (a) a first sealing device for producing a series of transverse seals that bond the film plies together, (b) an inflation assembly for directing gas between the film plies, (c) a second sealing device for producing one or more longitudinal seals that bond the film plies together, the transverse seals and the longitudinal seals intersecting to enclose the gas between the film plies to thereby form one or more inflated containers, and (d) at least one intermediate sealing element for producing one or more intermediate seals within each inflated container, the intermediate seals partitioning the containers into two or more compartments and providing at least one flow passageway between the compartments to allow the compartments to fluidly communicate with one another.