Before Arkham City Incident
At some point the Maroni family gathered at their restaurant to talk about how to finally win the war between themselves and the Falcones. As they talked, the building was surrounded by Carmine Falcone's men, who opened fire on the building. Most of the Maronis inside were killed, and their leadership eliminated. All of the remaining Maronis were incarcerated in Arkham City.
Arkham City Incident
Although inmates within Arkham City, the Maroni's paths' never crossed with Batman's on the night that he was sent there. Batman did, however, have to locate their restaurant to solve a riddle left by The Riddler.