A stopper adapted for attachment with a plunger rod for use within a syringe barrel is disclosed. The stopper includes a main body defining an open rearward end and a closed front end. The open rearward end is adapted to receive a front forward end attachment portion of the plunger rod. The stopper also includes a core member integrally formed with said main body adjacent the closed front end. The core member includes a nose portion having a profile adapted to create a positive seal with an outlet opening of such syringe barrel.