Banks offering online banking in Italy for non-residents

Hi all, i've been living here for just over a year and i have a non-resident bank account here in Italy. However this bank doesn't allow me to make any online payments and purchases because its a non-resident account. Are there any banks that offer online banking for non-resident accounts?
Its so inconvenient when all i can do is withdraw cash and swipe my card but cannot make any payments online. Help!

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