A method includes providing a die having a cylindrical body terminating in a rounded end, wrapping a fibrous material around the die while the fibrous material is tensioned, wherein the fibrous material is placed to extend in a continuous manner across the width of the rounded end of the body and to opposite sides of the cylindrical body, applying a curable resin on the die, curing the resin, and removing a reinforced cured resin plug from the die.