If you remain tax resident in Italy, the profits of the Emirati company stay within the Italian tax net and the company risks being treated as Italian-resident, on the basis that it is in fact managed from Italy. The move has to be real: AIRE registration, an actual change of domicile and personal ties, running the business from the Emirates, genuine economic substance.
Since 2024 the tax residence tests for individuals have been rewritten by Legislative Decree 209/2023: what counts is civil-law residence, domicile understood as the main place of personal and family ties, physical presence in the territory, and registration with the resident population register, which acts as a presumption that can be rebutted with evidence to the contrary.