In October 1960, Gaggi committed his first murder for the Gambino family. He served on a hit squad that murdered mobster Vincent Squillante, the man who probably killed Scalise. According to Montiglio, Gaggi described the murder: “We surprised him (Squillante) in the Bronx. We shot him in the head, stuffed him in the trunk, then dumped him for good.” In this case, “dumped him for good” meant that they hauled the body to the basement of a building, loaded it into a trash incinerator, and cremated it. After the Squillante murder, Gaggi was inducted into the Gambino family.