On the grounds that the Tornado MFG can, I cant think of any reason why the Italian Tornados couldnt.
Its more than likely that Italy just always ran fuel tanks or clean wings. Those wing pylons actually being used for weapons is incredibly rare for all nations.
So can be done and was done are 2 potentially different things and given the AS-34s and Sea Eagles being mounted on those pylons, I dont see why they would limit the italian tornados differently, especially as its the wing pylons that would be the more useful place to mount them in WT.