The core of the present invention resides in supplying pigment in a kind of “basic grade”, preferably as a solid, and milling in an aqueous phase in situ in a satellite milling plant to obtain the desired whiteness and grain size. As a result of this invention, papermakers are no longer bound to predetermined particle sizes of the fresh pigments and/or fresh fillers and pigment slurries obtainable from suppliers of raw materials. Papermakers are capable of preparing themselves pigment slurries in a satellite plant in situ according to the current needs. This permits a flexible and quick reaction to changing quality and production requirements, as well as lower shipping costs because no water is shipped as would be necessary in the usual slurry, and an improved stability of the self-prepared pigment slurry, as compared to the prior art.