Grafting is the technique of combining a stick with leaf buds (scion) from one variety of plant with the stump and root (root stalk) of another. When creating a patio peach tree, a certain fruit variety is combined with a root system designed for potting. When grafting, avoid using a root stalk that is older than three years of age, to ensure the best chance of a successful graft and vigorous growth.
Cut a bud stick that is approximately three to four inches in length. There should only be leaf buds, not developing leaves, on the bud stick. The bud stick should be roughly 1/4 to 3/8 inch in diameter. Keep the bud stick in your mouth until you are ready to place it on the root stalk to ensure the tip does not dry out.
Cut an upside down "T" in the bark portion of the root stalk. The "T" should be 1/2 inch long at the bottom and 1 inch tall. Remember to only cut through the rough portion of the bark to create an insertion point for the bud stick.
Slice the bud stick's end into a diagonal and insert it into the bark of the root stalk so that the entire diagonal portion is inside the stump's bark.
Wrap the entire grafting area tightly with budding tape and leave it to heal for roughly 8 weeks. Remove the budding tape when new growth begins to develop on the bud stick.