An apparatus for forming inflated containers from a film web having two juxtaposed film plies includes: a. a mechanism that conveys the film web along a path of travel; b. a first sealing device for producing one or more seals that bond the film plies together to form a container having at least one opening; c. an inflation assembly for inflating the container by directing a stream of gas into the opening thereof; and d. a second sealing device for sealing closed the opening of the inflated container.