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Hi Aileen, I'm not quite Hi Aileen, I'm not quite sure if your basil will regrow. It depends on a lot of things. Changes in humidity are very hard on seeds. Next year, pick some of the seeds and bring them in to dry and then store in a glass jar. You may get lucky this year, though. I often don't have good luck bringing plants in from the garden, either. I think the quick changes in temperature, humidity and sunlight shocks them.