Answer: To be honest, based on your description I am having a hard time picturing the plant. If it is a vine, it could be the moonflower vine. This is a relative of the morning glory and the flowers are very large, fragrant, and open at night. If it is tall and upright with skinny white funnel-shaped flowers and large flat leaves, it could be a form of nicotiana or flowering tobacco. That is also open and very fragrant at night. Finally, I can think of flowering stock which is a tiny little insignificant looking plant but also occasionally blooms in white and is intensely fragrant again at night. All of these can self sow every year as you described and could seem to be nearly perennial for that reason. I hope it is one of these garden plants. If not, please ask again and tell us as much as you can about the plant so we can try again!
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