After completing his postdoctoral training in London, UK, Dr. Gombos returned to The University of
Texas M.D. Anderson Cancer Center (MDACC) in Houston, Texas as an Assistant Professor in 2001. He also joined the faculty at The University of Texas Medical Branch in Galveston, Texas in 2005 as a Clinical Assistant Professor of Ophthalmology and Visual Sciences. Dr. Gombos became an Associate Professor at MDACC in 2007, and a Clinical Associate Professor at The University of Texas Medical Branch in 2008. At MDACC, he is currently developing a comprehensive program for the management of patients with intra and periocular tumors. The program will also include special services for children with intraocular retinoblastoma. Dr. Gombos was also a founding physician in the Retinoblastoma Center of Houston, a collaborative effort between The Methodist Hospital, Baylor College of Medicine, Texas Children's Hospital, and MDACC that provides a comprehensive treatment program for retinoblastoma patients and conducts groundbreaking research to improve diagnostic methods and treatment and public awareness campaigns to promote early detection.

Dr. Gombos' research involves clinical trials that use proton beam radiation therapy or gene transfer therapy for pediatric refractory retinoblastoma.