According to an italian press article, TAP Air Portugal is going to put the 4th daily flight between Lisbon and Rome also to accomodate the growing demand to/from Brasil. TP keen on introducing it as soon as possible probably in time for the summer peak or at most when the IATA winter timetable begins. Another source refers a curious statistical note too : about 30-40% of TP Lisbon-Fortaleza services are filled by italian passengers. In any case, apart from the actual charter services to Nordeste do Brasil, I think Rome needs direct flights to south Brasil (GRU and/or GIG) as it used to be in the past.
Source : www.aviazionecivile.it/forum/topic.asp?TOPIC_ID=24641