A device for cooling and lubricating a tool during a chip removal machining process, comprising: - a first subsystem for cryogenic cooling that comprises: a first entry configured to introduce CO 2 in liquid state in a first conduit (a) of the device; a first exit configured to supply CO 2 in liquid state from a second conduit (g) of the device; a third conduit (b) located between said first conduit (a) and second conduit (g); and means (2, 7, 8, 4, 11, 15, 16, 13, 14 d, h, c) for preventing the formation of dry ice in said first, second and third conduits (a, g, b), said means (2, 7, 8, 4, 11, 13, 14, 15, 16, d, h, c) for preventing the formation of dry ice in said first, second and third conduits (a, g, b) being implemented by means for pressurising said first, second and third conduits (a, g, b) above the triple point of the CO 2 before injecting the CO 2 in liquid state through the exit, wherein said means for pressurising said first, second and third conduits (a, g, b) above the triple point of the CO 2 comprises a second entry configured to introduce CO 2 in gaseous state in a fourth conduit (d) of the device; a fifth conduit (h) placed after said fourth conduit (d); a first solenoid valve configured to control the passage of CO 2 in liquid state between the first conduit (a) and the third conduit (b); a second solenoid valve configured to control the passage of CO 2 in gaseous state between the fifth conduit (h) and a sixth conduit (c); a first no-return valve disposed to communicate said first conduit (a) and third conduit (b), so that when said first solenoid valve is closed, passage of CO 2 in gaseous state is allowed from the third conduit (b) towards the first conduit (a) before introducing the CO 2 in liquid state through the first entry; and a second no-return valve disposed to communicate said third (b) and sixth conduit (c), so that when said second solenoid valve is open, circulation of the CO 2 in gaseous state is allowed from the sixth conduit (c) towards the first solenoid valve but not the other way around, impeding the advance of CO 2 in liquid state towards the second solenoid valve; - a second subsystem for lubrication that comprises means (3, 5, 6, 9, 10, 12, 19, i, i, f, k, e, 20) for supplying micro-particles of a cutting oil in liquid state; said first subsystem and second subsystem being independent from each other and said first subsystem and second subsystem being configured to operate both simultaneously or either one alone (110, 120). - a first subsystem for cryogenic cooling that comprises: a first entry configured to introduce CO 2 in liquid state in a first conduit (a) of the device; a first exit configured to supply CO 2 in liquid state from a second conduit (g) of the device; a third conduit (b) located between said first conduit (a) and second conduit (g); and means (2, 7, 8, 4, 11, 15, 16, 13, 14 d, h, c) for preventing the formation of dry ice in said first, second and third conduits (a, g, b), said means (2, 7, 8, 4, 11, 13, 14, 15, 16, d, h, c) for preventing the formation of dry ice in said first, second and third conduits (a, g, b) being implemented by means for pressurising said first, second and third conduits (a, g, b) above the triple point of the CO 2 before injecting the CO 2 in liquid state through the exit, wherein said means for pressurising said first, second and third conduits (a, g, b) above the triple point of the CO 2 comprises a second entry configured to introduce CO 2 in gaseous state in a fourth conduit (d) of the device; a fifth conduit (h) placed after said fourth conduit (d); a first solenoid valve configured to control the passage of CO 2 in liquid state between the first conduit (a) and the third conduit (b); a second solenoid valve configured to control the passage of CO 2 in gaseous state between the fifth conduit (h) and a sixth conduit (c); a first no-return valve disposed to communicate said first conduit (a) and third conduit (b), so that when said first solenoid valve is closed, passage of CO 2 in gaseous state is allowed from the third conduit (b) towards the first conduit (a) before introducing the CO 2 in liquid state through the first entry; and a second no-return valve disposed to communicate said third (b) and sixth conduit (c), so that when said second solenoid valve is open, circulation of the CO 2 in gaseous state is allowed from the sixth conduit (c) towards the first solenoid valve but not the other way around, impeding the advance of CO 2 in liquid state towards the second solenoid valve; - a second subsystem for lubrication that comprises means (3, 5, 6, 9, 10, 12, 19, i, i, f, k, e, 20) for supplying micro-particles of a cutting oil in liquid state;