A fitment for a package holding a liquid therein, said fitment being configured for selectively dispensing a quantity of the liquid from the package, the package comprising a flexible bag having a hollow interior in which the liquid is disposed, a wall contiguous with the hollow interior, and a gland located in the wall, the gland having an opening extending therethrough in communication with the hollow interior of the bag, said fitment comprising: a body having a longitudinal axis, a passageway having a frangible seal closing off a portion of said passageway, an outlet in communication with said passageway and a wall portion configured for disposition within the opening of the gland to secure said body to the gland, said passageway extending through said wall portion and having an end portion, said frangible seal being connected to said wall portion and closing off said end portion of said passageway; an actuator comprising a member configured to be repeatedly depressed and released; a plunger coupled to said actuator and configured to be moved through said passageway in one direction to an extended position upon the depression of said actuator and moved through said passageway in a second direction to a retracted position in automatic response to the release of said actuator; a valve (170, 172) coupled to said actuator and configured to be in either an open state or a closed state, said valve (170, 172) being in said open state when said actuator is depressed and being in said closed state when said actuator is released; and a piercing member comprising a hollow member coupled to said plunger and located in said passageway, said plunger when moved to said extended position causing said piercing member to pierce through said frangible seal, said piercing member having a piercing tip configured to initially pierce through said frangible seal when said plunger is moved to said extended position, characterized in that said hollow member is divided into plural passageways by plural walls extending along said longitudinal axis, wherein distal ends of the walls form the piercing tip and secondary piercing points located proximally of the piercing tip, for facilitating the formation of an opening in the wall of the bag through which the liquid can flow whereupon said plurality of passageways are in communication with the liquid in the hollow interior of the bag, said valve (170, 172) when in said open state enabling the liquid within the hollow interior of the bag to flow out of the bag through said piercing member and said passageway to said outlet. a body having a longitudinal axis, a passageway having a frangible seal closing off a portion of said passageway, an outlet in communication with said passageway and a wall portion configured for disposition within the opening of the gland to secure said body to the gland, said passageway extending through said wall portion and having an end portion, said frangible seal being connected to said wall portion and closing off said end portion of said passageway; an actuator comprising a member configured to be repeatedly depressed and released; a plunger coupled to said actuator and configured to be moved through said passageway in one direction to an extended position upon the depression of said actuator and moved through said passageway in a second direction to a retracted position in automatic response to the release of said actuator; a valve (170, 172) coupled to said actuator and configured to be in either an open state or a closed state, said valve (170, 172) being in said open state when said actuator is depressed and being in said closed state when said actuator is released; and a piercing member comprising a hollow member coupled to said plunger and located in said passageway, said plunger when moved to said extended position causing said piercing member to pierce through said frangible seal, said piercing member having a piercing tip configured to initially pierce through said frangible seal when said plunger is moved to said extended position, characterized in that said hollow member is divided into plural passageways by plural walls extending along said longitudinal axis, wherein distal ends of the walls form the piercing tip and secondary piercing points located proximally of the piercing tip, for facilitating the formation of an opening in the wall of the bag through which the liquid can flow whereupon said plurality of passageways are in communication with the liquid in the hollow interior of the bag, said valve (170, 172) when in said open state enabling the liquid within the hollow interior of the bag to flow out of the bag through said piercing member and said passageway to said outlet.