A machine for preparing substances for intravenous application includes: an initial container reception zone, a final container reception zone and a substance transfer circuit which includes a set of substance extraction devices, each of which is connected to a flexible tube connected to a device for introducing a substance into the final container by means of a peristaltic pump. The initial container reception zone and the vector of extraction devices are capable of relative movement along a horizontal axis and/or the final container reception zone and the vector of introduction devices are capable of relative movement along a horizontal axis.