Remove the old grout from the seam between the headwall and the drainpipe with a hammer and chisel if necessary. Place the chisel's blade on the old grout and strike the chisel's handle with the hammer until the old grout breaks free of the headwall. Repeat this procedure around the perimeter of the drainpipe.
Clean out the dirt and grout debris from the seam between the headwall and drainpipe with a whisk broom.
Combine non-shrinking grout and water in a bucket, using the grout manufacturer's recommended ratio. Stir the grout with a margin trowel until the mixture has the consistency of toothpaste.
Scoop a handful of grout onto the margin trowel's blade. Hold the trowel's blade against the bottom of the headwall's drainpipe port. Force the grout into the port's drainpipe seam with a tuck pointing tool to press the grout into the seam's recess. Repeat this procedure around the perimeter of the headwall's drainpipe port.
Clean off any excess grout from the headwall and drainpipe with a damp sponge.