A relatively stiff syringe pressure applicator having a pair of ears, the ears are overmolded with a relatively soft elastomer. A port extends through the syringe pressure applicator and is connected to friction fittings on either side of the pressure applicator. The external fitting is suitable for connecting to a source of pressurized air. The other fitting is sized and shaped to receive an elastomeric seal that may be inserted into the open end of a syringe to seal the syringe air tight.