Gardeners grow sweet alyssum (Lobularia maritima) as an annual wildflower and edging plant. The 1/2-foot plant produces a profusion of pink, purple or white blossoms and thrives in USDA hardiness zones 9 through 10, according to the University of Florida. Instead of buying started alyssum seedlings, sow the plant's seeds for a cheaper method of establishing a sweet alyssum flower bed or border.
Choose a site for your alyssum plants. The flowers thrive best in partial sun and well-drained soil.
Prepare the garden site. Use a spade or mechanical rototiller to loosen the soil to a depth of 10 inches, then add an inch of compost and mix it thoroughly into the dirt, according to Colorado State University.
Fertilize the flower bed for enhanced alyssum seedling establishment. Clemson University recommends using an all-purpose 10-10-10 fertilizer, spread at the rate of 1/2 lb. for every 50 square feet of flower bed.
Plant the alyssum seeds. Scatter them across the surface of the bare soil at a rate of two to three seeds per square inch. Don't bury the seeds, as alyssum requires sunlight to germinate, according to Michigan State University.
Water the flower bed by misting the soil surface twice a day to keep the top inch moist. The alyssum seeds will typically germinate within 14 days.