This is not correct- at least not with the A123 Systems cells used by Full Spectrum Power. While the cells can be damaged by allowing them to remain discharged below a certain threshold, they are not going to catch fire during recharge- ever.
First, the FSP Pulse battery has a safety circuit which prevents this from happening, and second, the A123 Systems cells are one of the few types of lithium which is specifically designed to avoid this. Li Poly and other types of Lithium Ion may have this happen, but not LiFeP04 Nanophosphate, which is what the A123 Systems cells are.