Place a 1/2-inch layer of gravel in the bottom of the planter to ensure the soil receives proper drainage. If the gravel is too small and falls through the drain holes, layer the bottom with river rocks instead.
Fill the planter 2 inches from the top with compost. Using compost instead of potting soil provides the rich nutrients Genovese basil requires to thrive.
Place groups of three Genovese basil seeds 4 inches apart from each other in the planter. Cover the seeds with 1/8 inch of compost and press it down lightly with your fingers.
Place the planter in a warm, sunny spot to allow the seeds to germinate. If there is any chance of frost, keep the planter indoors. Keep the soil damp, but not wet, as you await the Genovese basil sprouts. They should appear in seven to 10 days.
Thin out the sprouts; leave one healthy plant per group of three once the sprouts develop three sets of leaves. The sprouts require one to two weeks to be ready for thinning.
Water the plants whenever the soil is dry, keeping it moist to the touch. Once monthly, apply a liquid fertilizer mixed with water per the manufacturer's instructions. Keep the plants in a warm area where they receive at least six hours of sunlight per day.
Harvest the Genovese basil only when necessary. If you need several leaves, take a few from each plant to ensure they continue growing healthily. For outdoor plants, bring them inside before the chance of first frost to extend their growing season.