Sarcomas are malignant tumors of connective tissue with a mesodermal origin that, in rare occasions, is presented in conjunctiva; undifferentiated pleomorphic sarcoma represents <1% of orbital tumors. It is characterized by not meeting the histologic, immunohistochemical, ultrastructural, or molecular criteria in the classification proposed by the World Health Organization. The authors present the case of an 82-year-old man, blind due to absolute glaucoma, who consulted for a conjunctival mass of a few months’ evolution. He reported progressive enlargement of the left eye, associated with red eye, conjunctival discharge, and foreign body sensation. The patient was examined by the anterior segment department, which decided to biopsy the lesion due to the biomicroscopic aspect. After the diagnosis of a pleomorphic sarcoma by histopathology and immunohistochemistry, enucleation of the eye was decided.