A press die apparatus includes a die block and a punch. The die block includes a first shaping face, which is constituted by first die segments. The punch includes a second shaping face, which is constituted by second die segments. Any two first die segments that are adjacent to each other contact each other at first contacting surfaces. Any two second die segments that are adjacent to each other contact each other at second contacting surfaces. The first contacting surface of each of two first die segments that contact each other has a first communicating groove, which communicates with the first shaping face. The second contacting surface of each of two second die segments that contact each other has a second communicating groove, which communicates with the second shaping face.