Means and apparatus for aseptically transferring material between enclosures. Apparatus for transferring the material includes a fluid receiver assembly (12) comprising an adapter (24), and a fitting (93) mounted in the adapter (24). The fitting has a plurality of needle guide channels (86) leading from the outside of the fluid receiver assembly (12) toward the interior of the enclosure (10), and seal means (26) at the ends of the channels (86). Pierceable, self-closing seal means (26) is between ends of each of the channels (86) and the interior of the enclosure. Projected extensions of the channels pass through corresponding holes (40) in the adapter, so that needles (101) inserted into the channels (86) can penetrate the seal means (26) and enter the interior of the enclosure (10). A plurality of needles (101) in a novel needle bundle (95) may be used in making the transfer. An assembly for transferring material between two stationary enclosures comprises a pair of novel needle bundles (295 ) and connecting tubing (266). Methods of transferring materials are taught.