I live in an apartment in Toronto and have been trying to grow potted bulbs on the balcony for years, but unfortunately most of my bulbs either freeze or rot, no matter how hard I try to protect them from either. Forcing them indoors is also difficult because I don't have sufficient space in the fridge for the pots. I know I can chill the bulbs before planting, but that would mean those tulips would have no strength to bloom again the following year correct? (Yes, I know I could treat them as annuals and just plant some more next year, but I'm interested in reblooming my favourite varieties.)

From what I understand, when you plant bulbs in the fall, they put out roots before it gets too cold which gives them a head start in the spring, yes? So after they finish blooming, they will hopefully absorb nutrients and energy to bloom again the next year. So if I pre-chill first before planting, and the tulip doesn't put out those roots until the spring, can it still feasibly accumulate enough nutrients to rebloom?