A method of supplying a flush/lock solution to a catheter assembly is disclosed which includes the steps of securing a distal end of a syringe assembly to the catheter assembly, advancing a plunger rod of the syringe assembly within a body of the syringe assembly until the plunger bottoms out on a distal wall of the body to eject a first fluid from a first fluid reservoir of the body from the fluid outlet of the syringe assembly, and after the plunger bottoms out on the distal wall of the body, advancing the plunger rod further within the body to advance a piercing member to pierce the plunger to eject a second fluid from a second fluid reservoir defined by the plunger from the fluid outlet.