COEP is a Govenment college takes the admission through MHT CET. Outside Maharashtra students can appear for MHT CET. Outside Maharashtra Student won't be eligible for Government and Govt. Aided colleges, they will be eligible for All India Seats of Private colleges. However All India Candidature  candidates may or may not appear for MHT-CET as Score of JEE(Main) Paper I shall be preferred over MHT-CET for admission to B.E./B.Tech.

Good Luck!