A film bag formed by folding a film has a front surface, a back surface, a laid-in first side fold, and a laid-in second side fold. The bag is closed off by a longitudinal sealing seam and a head sealing seam. The head sealing seam has a step shape, with a first head sealing seam segment extending from the outside edge of the second side fold to the ends of the re-closure strip attached to the inside of the front and back surfaces, and a second head sealing seam segment that follows the first in step shape and connects a bag segment that projects upward, at the edges, forming a seal, and extends to the outside edge of the bag, along the first side fold. The projecting bag segment can be removed entirely or in part, along a separating line disposed above the re-closure strip.