An ophthalmically acceptable composition for use in the treatment of a corneal epithelial wound in a subject that has undergone or is undergoing a surgical procedure or corneal resurfacing procedure, the composition comprising a peptide agent comprising amino acid sequence LKKTET (SEQ ID NO: 1) or Thymosin β4 (Tβ4) in an aqueous composition at a concentration of about 1 mg/ml to 6mg/ml having a pH of about 5.5 to 7.8.