Wirelessly posted (Mozilla/4.0 (compatible; MSIE 6.0; Windows NT 5.0) BlackBerry8800/4.2.1 Profile/MIDP-2.0 Configuration/CLDC-1.1 VendorID/102)
FCO has a remote international (usually not for intra-europe flights) that is not too bad but I don't know of any lounges attached to it. LH usually departs from A or B and there a some small, but nice lounges in those areas.
In all honesty the international check-in is so chaotic and so filled with people that unless you arrive -- even three hours early -- you probably wouldn't have a decent amount of time to use a lounge.