Non-EU children on a school trip can travel visa-free to Italy as long as:
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They are a pupil at a general education school (up to sixth form) in the Republic of Ireland.
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They are on an organised school trip with their own school.
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They have their own valid passport, recognised by Italy.
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They are resident in the Republic of Ireland (valid residence permit).
For more information please visit the link https://eur-lex.europa.eu/legal-content/EN/TXT/HTML/?uri=CELEX:31994D0795&from=IT