An ostomy bag with a filter assembly having a gas filter and a pre-filter for preventing or delaying solid/semisolid matter and liquid from reaching the gas filter. The pre-filter is at least substantially flat and comprises a number of constrictions, such as ribs extending along and between two inner surface parts of the channel. These constrictions/ribs form narrower and wider passages where the gas may more quickly pass a narrow passage and where the wider passages tend to receive and hold the liquid, solid matter and semisolid matter. The constrictions may be provided as a single, monolithic element, such as an extruded element.