Connection device (10) between a container (110) provided with a neck (120) sealed by a pierceable cap (128) and a container (210) intended to be equipped with a needle (62), this device comprising a base ( 20) provided with mounting means (22) on the container, which defines a central bore (26) and on which the container can be mounted, characterized in that: - a needle (62), which belongs to a subset (60) coupled to the central boring (26) that is part of the connecting device (10) and intended to be mounted on the container (210), it is arranged in the central boring (26), in a direction parallel to a longitudinal axis (X26 ) of this boring, - a sealing sleeve (40) is arranged in the central boring (26), around the needle (62) and in contact with it, - the base (20) is monobloc and comprises an organ (28 ) of perforation of the plug that extends, from an intermediate wall (21) of the base, on the opposite side of the central boring (26), parallel to the central axis (X26) of the boring and to a distal end (282), - the piercing member (28) is hollow and its internal volume (V28) is at communication, on the one hand, with the central bore, (26) and, on the other hand, with a volume (V22) radially surrounding the distal end (282) of the piercing member.Dispositivo de conexión (10) entre un recipiente (110) provisto de un cuello (120) obturado por un tapón perforable (128) y un contenedor (210) destinado a estar equipado con una aguja (62), comprendiendo este dispositivo una base (20) provista de medios (22) de montaje sobre el recipiente, que define un mandrinado central (26) y sobre la cual se puede montar el contenedor, caracterizado porque: - una aguja (62), que pertenece a un subconjunto (60) acoplado en el mandrinado central (26) que forma parte del dispositivo de conexión (10) y destinado a ser montado sobre el contenedor (210), está dispuesta en el mandrinado central (26), según una dirección paralela a un eje longitudinal (X26) de este mandrinado, - un mangu