An assembly structured to aspirate nasal cavity of individuals including, but not limited to, children. A hand held and hand operative casing includes a negative pressure source preferably battery operated, and a cover assembly removably connected to the casing and structured to at least partially define a receiving chamber. An inlet assembly is formed in the casing and communicates with the negative pressure source at least partially by means of a path of fluid flow. A container is removably disposed within the receiving chamber in a predetermined, operative orientation sufficient to receive and collect a predetermined portion or phase of the aspirated fluid, such as mucus is removed from the nasal cavity. The path of fluid flow is disposed, dimensioned and structured to restrict passage of the heavier, predetermined portion or phase of the aspirated fluid thereby facilitating its collection within the container, which is disposable along with the collected aspirated fluid after use.