Just announced a few hours ago.
Eff 01JUN20 3 weekly
AZ640 FCO0915 - 1315 SFO 772 147
AZ641 SFO1515 - 1215(+1)FCO 772 147
I believe this will be the only other route from San Francisco to Italy, with Air Italy’s Milan flight being the other.
(Sorry @BigBert10, looks like they got another).