Intravenous injection point for connection to a cannula (16), said injection point (12) having proximal and distal ends, said injection point (12) comprising: a support body (18) having a well (46) at a proximal end of the support body (18), a fluid passage (51) formed through said support body (18), and a pressure-controlled flow control valve (20) distally separated from the well (46) ) and which can function to selectively impede the flow of fluid in a proximal direction towards the proximal end of the injection point (12), and a divided septum unit (24) for reception in the well (46), characterized in that said pressure-controlled flow control valve (20) has a concave-convex domed central body (54) with a peripheral flange (52) and a groove (56) formed in the central body (54) of the valve flow control (20), presenting said body centers l (54) a progressively decreasing thickness that leads to a vertex of the central body (54); and in that said divided septum unit (24) comprises a rigid septum support (66) and an adaptable septum body (64) mounted on the septum support (66), wherein said well (46) has a surface annular septum coupling (50) to restrict distal displacement of the septum body (64) when the cannula (16) is inserted into the septum body (64) and to precompress the septum body (64) before insertion of the cannula, said septum support (66) including opposite annular, distal and proximal ends (66a, 66b) arranged around said septum body (64) and an annular rib projecting inward (70), said body presenting of the septum (64) proximal and distal faces (74, 76), a slit (72) between the proximal and distal faces (74, 76) and an annular groove (68), in which the septum body (64) is interconnected with the septum support (66), so that the annular groove (68) of the septum body (64) fits with the annular rib protruding in (70) from the septum support (66) and in which the proximal face (74) of the septum body (64) is coplanar with the proximal end (66b) of the s