The article follows in its first part some basic ideas of Edmund Husserl concerning the pre-givenness of the world. In the genetic analysis the world in the naturality of its self-evident being presents an enigma for Husserl indeed that he tried to reduce by elucidating the ways how it is (pre-)given in and through horizonal world-apperceptions. The second part of the article mentions some limits of this approach that Eugen Fink has sharply seen, already as an assistant of Husserl, and it outlines briefly a turn towards another approach to the world as developed later by Fink in his “kosmology”. In the third part the article makes reference to a recent project of a phenomenological metaphysics by Laszlo Tengelyi who re-actualized a Husserlian approach to the world’s pre-giveness as one of the originary facta (Urtatsachen) of the experience instead to resorb this and other originary facta of experience by a kosmological or other speculative turn into a unique movement of the world or being itself. Tengelyi is presented as an exemple of a renewal of phenomenology where in a return from the kosmology back to Husserl the world becomes “the proper issue of phenomenology” again.