Two-way dispensing device intended to close a vial, which device is equipped with - two reservoirs, - a first passageway whose first end, called first inlet end, opens into a first reservoir and whose second end, called first outlet end, opens outside of the first reservoir, and - a second passageway whose first end, called second inlet end, opens into a second reservoir and whose second end, called second outlet end, opens outside of the second reservoir, - first closing means being provided in the first passageway and second closing means being provided in the second passageway, said closing means being changeable from a closed position in which a product contained in the corresponding reservoir cannot exit said reservoir to an opened position in which a product contained in the corresponding reservoir can exit said reservoir, the two passageways (21, 22) being isolated from each other at least between their inlet ends (211, 221) and their respective closing means, - the inlet ends (211, 221) of the two passageways being separated and spaced from each other, - the reservoirs being formed by a single flexible pouch separated into first and second compartments (13, 14) by a central partition, the first compartment performing the function of the first reservoir and the second compartment that of the second reservoir, the inlet end of the first passageway opening into the first compartment and the inlet end of the second passageway opening into the second compartment, so that the two compartments are isolated from one another, - the pouch being formed by two panels overlapping each other and each having two opposite edges, the first called upper edge and the second lower edge, and two side edges, the upper, lower and side edges of the two panels being connected together so as to form a sealed assembly by forming the upper edge, the lower edge and the side edges of the pouch, - the central partition extending from the upper edge to the lower edge of the pouch, a portion of the first passageway being interposed in the upper edge of the pouch between the upper edges of the first and second panels on one side of the central partition and a portion of the second passageway being interposed in the upper edge of the pouch between the upper edges of the first and second panels on the other side of the central partition, - each panel having an inner face and an outer face, the inner faces being directed toward each other, the central partition being obtained by fixing the inner faces of the two panels one over the other, characterized in that the side edges of the pouch are folded between the two panels toward the central partition so as to form a two-fold gusset (16, 17) in each reservoir. - two reservoirs, - a first passageway whose first end, called first inlet end, opens into a first reservoir and whose second end, called first outlet end, opens outside of the first reservoir, and - a second passageway whose first end, called second inlet end, opens into a second reservoir and whose second end, called second outlet end, opens outside of the second reservoir, - first closing means being provided in the first passageway and second closing means being provided in the second passageway, said closing means being changeable from a closed position in which a product contained in the corresponding reservoir cannot exit said reservoir to an opened position in which a product contained in the corresponding reservoir can exit said reservoir, the two passageways (21, 22) being isolated from each other at least between their inlet ends (211, 221) and their respective closing means, - the inlet ends (211, 221) of the two passageways being separated and spaced from each other, - the reservoirs being formed by a single flexible pouch separated into first and second compartments (13, 14) by a central partition, the first compartment performing the function of the first reservoir and the second compartment that of the second reservoir, the inlet end of the first passageway opening into the first compartment and the inlet end of the second passageway opening into the second compartment, so that the two compartments are isolated from one another, - the pouch being formed by two panels overlapping each other and each having two opposite edges, the first called upper edge and the second lower edge, and two side edges, the upper, lower and side edges of the two panels being connected together so as to form a sealed assembly by forming the upper edge, the lower edge and the side edges of the pouch, - the central partition extending from the upper edge to the lower edge of the pouch, a portion of the first passageway being interposed in the upper edge of the pouch between the upper edges of the first and second panels on one side of the central partition and a portion of the second passageway being interposed in the upper edge of the pouch between the upper edges of the first and second panels on the other side of the central partition, - each panel having an inner face and an outer face, the inner faces being directed toward each other, the central partition being obtained by fixing the inner faces of the two panels one over the other,