If you love to cook using fresh basil, here are some ways to start new plants.
I've had great success propagating basil from cuttings . . . take a cutting and prepare as shown in the photo, dip in rooting hormone, plant in a container with well draining soil, water regularly and keep in indirect sun.
Here is another method from Birds and Blooms . . . click here.
Photo source is Birds and Blooms.