Chronic wounds, such as diabetic foot ulcers and burn injuries, are often complicated by bacterial and fungal biofilms—protective communities of microorganisms that resist antibiotics and delay healing. This review summarizes how biofilms form, why they are difficult to treat with standard approaches, and discusses new therapeutic strategies. While debridement and antiseptics remain important, combining them with novel treatments like bacteriophages, enzyme therapies, and nanotechnology offers better chances for healing these stubborn wounds.