While a considerable body of work examines immigrant networks, inadequate attention has been devoted to understanding how networks regulate the relationship between immigrants and host institutions. A rich immigrant process may reinforce current power structures by providing a convenient buffer between the elite and challengers. Conversely, immigration may challenge the status quo. I employ social network analysis to examine three understudied immigrant groups in Rome, Bangladeshis, Filipinos, and Peruvians. I find that they have developed systems of problem-solving and sense-making that often interrupt their interactions with host institutions. The state tolerates this because it situates immigrants’ concerns outside its sphere of responsibility.