A container (100) for warming fluids, the container comprising an inlet port (112), an outlet port (116), and a fluid conduit configured for putting the inlet port in fluid communication with the outlet port and comprising one or more deflection sections (110). The fluid conduit has a non-constant maximum width in a direction of fluid flow through the fluid conduit. At least one of the one or more deflection sections further comprises an entry section (110e) and an exit section (110x), each respective exit section being arranged downstream, in the direction of fluid flow, from each respective entry section. The maximum width of the fluid conduit decreases along the direction of fluid flow through the entry section over a first distance (De) and the maximum width of the fluid conduit increases along the direction of fluid flow through the exit section over a second distance (Dx), the first distance and the second distance being different from one another. An apparatus for warming medical fluids including the container and an extracorporeal blood circuit including the container are also provided. An extracorporeal blood treatment apparatus including the apparatus for warming medical fluids and/or the extracorporeal blood circuit is also provided.