Basil is a frost tender plant so any cold weather will kill it. You can try digging up the plant to grow indoors. Be sure to cut it back to a manageable size and put it in a sunny location to stimulate new growth. You might have greater success starting new plants from seed to grow inside. I also have had stem cuttings of basil root in a glass of water. Pot them up as soon as the roots get to be about 1/2 inch long.
Basil is a frost tender plant so any cold weather will kill it. You can try digging up the plant to grow indoors. Be sure to cut it back to a manageable size and put it in a sunny location to stimulate new growth. You might have greater success starting new plants from seed to grow inside. I also have had stem cuttings of basil root in a glass of water. Pot them up as soon as the roots get to be about 1/2 inch long.