A solution for injecting one or more fluids into a patient is proposed. A corresponding injection system (200) comprises one or more supply stations (105a105b) each one for supplying one of the fluids to be injected from a container (110a110b) at least one of the supply stations (105a105b) comprises housing means (115a,120a115b,120b) defining a chamber for housing the container (110a110b), the chamber having a connection port (132a132b) for connecting the container (110a110b) to a delivery arrangement (135,145) for delivering the fluid to the patient, and a conditioning device (205a205b) for thermally conditioning the fluid in the chamber, wherein the conditioning device (205a205b) comprises a first conditioning element (210a210b) arranged around the connection port (132a132b) and a second conditioning element (215a215b) extending transversally to the first conditioning element (210a210b). FIGURE 4