The Italian Boy’s Name Cosimo Means “order,” “organization,” And “beauty.” With These Meanings, It Will Show Your Little One That Not Only Does Their Beauty Stand Out But Also Their Poised Disposition. During The Italian Renaissance, Cosimo De’ Medici Was A Prominent Figure As He Established The Ruling Of The Medici Family In Florence And A Famous Patron Of The Arts. The Name Cosimo Is A Variation Of Cosmo, Which Derives From The Greek Kosmos. So If You’re Looking For A Name Out Of This World, Cosimo Would Be The Right Choice For You.