Livia wasn’t so much needy as greedy. Her plans were quite simple... Tony would be removed, permanently, and she would take over the running of the business. Whilst the two other women might present complications, Livia had no doubt that ultimately they could be ‘managed’ or sacrificed. Sofia would seem to be the bigger threat, but Livia’s next lunch engagement with Marcia should provide more information... and information is power.
Paolo’s role was errand boy with knife. He was extremely useful right now and could be scapegoated at any time. His apparent love for Livia was to be exploited mercilessly.