Loosen the screws that are holding the existing threshold down. Pry up the threshold with a flat-head screwdriver until it reaches its highest level. Close the door to examine the gap between the bottom of the door and the threshold. If a gap still exists, replace the threshold with an energy-efficient aluminum threshold that contains a weatherstripping.
Loosen the screws on the threshold and remove them. Use a flat-head screwdriver to pry up the threshold. If you have a wooden threshold, use a small pry bar, or a claw hammer, to remove the nails or to pry up the threshold itself.
Clean the door sill with a rag, water and household cleaner to remove all dirt and debris that may have accumulated. Inspect the sill. If it's worn or damaged, you will need to replace it. Allow the sill to dry before installing a new threshold.
Lay a new, energy-efficient threshold on the sill. Lift up the vinyl weatherstripping, where you will find the holes for the screws. Install the screws, then lay the weatherstripping back down.
Test the door and check the fit at the bottom. A gap of one-eighth inch is acceptable. If the threshold is too high, adjust the screws so it will sit lower on the sill.