The invention refers to a pumping and foaming device (10) comprising a mixing unit (201) where air and a foamable fluid are conveyed and pre-mixed, and a foaming unit (203) where the mixture of air and fluid is foamed; the device (10) further comprising a processing element (202) rotatable with respect to the foaming unit (203), such that the rotation of the processing element (202) sucks air and fluid by centrifugal forces into the mixing unit (201), where they are conveyed and pre-mixed, that same rotation of the processing element (202) with respect to the foaming unit (203) driving the mixture of air and fluid under a certain level of shear stress which allows the mixture to be foamed. The invention further refers to a pack (100) comprising a device (10) and a fluid container (20), and further to a machine (200) to which such a pack (100) is connectable. The invention also refers to a system (300) comprising a machine (200) and a pack (100).