The invention is a valvular closure element (5), in particular for dispensing a liquid from a container, the valvular closure element (5) comprising a support element (10) having an annular shape and a valve insert (12) having a side wall and a cover portion made of a resilient material and abutting to an internal surface of the support element (10) by its side wall. The cover portion (17) is formed with slits (14) defining valve flaps (15), wherein each valve flap (15) has an adjoining periphery connected to the side wall. In the valvular closure element (5) the side wall has a cylindrical shape, and the slits (14) are formed radially, and a projection (18) is formed on the external periphery of the support element (10) for each valve flap (15) at the middle of the adjoining periphery corresponding to the respective valve flap (15). The invention is, furthermore, a closure cap comprising the valvular closure element (5), and a method and an apparatus for manufacturing the valvular closure element (5). The invention also relates to another valvular closure element.