A handling system for use in the manufacture of syringe barrels includes a tray having an array of apertures with a tubular upstand around each aperture, each upstand at the upper end thereof defining a support surface for a syringe barrel. Each syringe barrel comprises a cylindrical part and an enlargement at or adjacent the rear end of the barrel and carries at its forward end a safe needle device or a needle shield of a greater diameter than the syringe barrel. At least one of the enlargement of the syringe barrel or the support surface has a profile tapering or rounded inwardly in the downward direction so that when the tray is supported generally horizontally and a syringe barrel is lowered into an upstand, the syringe barrel is centred by co-operation between the enlargement and the support surface. The enlargement may be a flange at the rear end of the syringe barrel or could be a further component fitted to the barrel.