I am a Lebanese citizin, living in italy for the past 6 years. I hold Lebanese passport and Italian permanent residence card.
Can i go to Dublin for few days without a visa?
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The Irish Government has a website that tells you if you need a visa. It only asks about your nationality, not about permanent residence. From this, it appears that only your nationality matters and, as a Lebanese national, you need a visa.
If you don't want to trust this argument of "They'd ask about your permanent residence if it made a difference", you can look for more information on the website of the Irish embassy in Italy or telephone them at +39 06 585 2381.