When the Thunderbolts first pretended to be heroes after the Avengers and Fantastic Four disappeared during Onslaught, the abandoned Cellini's Pizzeria was their first headquarters. The dilapidated building was intentionally picked for its state of disrepair so the Thunderbolts could come across as idealists sacrificing everything for their supposed mission of being heroes. Techno in particular hated the headquarters and wanted to make improvements but Meteorite and Citizen V refused reasoning this would conflict with their cover story.
The Pizzeria was abandoned early into the Thunderbolts career when the Mayor of New York City offered the group Four Freedoms Plaza after the Thunderbolts rescued Franklin Richards from the Mad Thinker.
The restaurant served alcohol as well as Pizza according to the sign.