The container (1), particularly for medical products, pharmaceuticals, cosmetics, food or the like, comprises: an hollow body (2) at least partly compressible defining a chamber (3) for containing a fluid product (4) and provided with a neck (5); a closure element (6) made in a single body piece with the hollow body (2) and provided with an attachment portion (7) which, in a packaging configuration, is associated with the hollow body (2) along a predefined breaking line (8) adapted to allow the separation of the closure element (6) from the hollow body (2) in a configuration of separation in which on the hollow body (2) is formed a dispensing opening (9) of the fluid product (4); a dispensing valve (13) adapted to allow the outflow of the fluid product (4) through the dispensing opening (9); and a return valve (14) adapted to allow the one-way flow of air (15) towards the chamber (3), wherein the return valve (14) comprises filtering means (16) adapted to filter the air (15) entering the chamber (3).