Wash the pits under running water to remove the plum flesh.
Dry the pits and place them in a plastic bag.
Close the plastic bag and place it in the refrigerator for at least 90 days.
Remove the pits from the bag. Soak the seeds in a bowl of tepid water for four to five hours.
Mix equal amounts of sand and peat moss together in a bucket.
Place a coffee filter at the bottom of a 4-inch pot and then fill the pot with the planting mixture. Fill as many pots as you have seeds to plant.
Plant the pits 2 inches below the surface and cover with the soil mixture. Push the pit to this depth with your finger or use a small spoon to dig a hole for the pit.
Water the pots thoroughly until water comes out the bottom drainage holes.
Place the pots in a sunny window.
Water to keep the soil evenly moist, but not soggy or the seeds can rot.
Transplant the plum trees outdoors after all threat of frost has passed. If the weather is still cold, transplant the small plum trees into 6-inch pots, and continue to grow in a bright sunny window.