RGN-137 will be evaluated for efficacy and safety compared to a Placebo. A matched-pair design will be used to evaluate RGN-137 treatment versus placebo for treatment of 15 subjects with JEB or DEB. Eligible subject must have 1 set of matched-pair wound. The investigator will assign pair of index wounds, each wound with an area between 5cm2 and 50cm2, inclusive, for the eligible subject on Day 1, and for each pair, one wound will be randomized to receive RGN-137 gel and the other to receive Placebo gel. Subjects and independent evaluator will be blinded to the treatment assignments for each wound.