Fused bicyclic cyclopropanes were converted by Lewis acid‐catalysis with thioureas to furo‐, pyrano, and pyrrololactams with yields of up to 99% and high diastereoselectivity. The formation of the title compounds, representing a formal [4+1]‐cycloaddition to a donor‐acceptor substituted cyclopropane, follows a cascade reaction involving SN1‐type ring‐opening addition and cyclization. Thiourea, being a cost‐effective and odorless reagent, acts as an N,N‐bis‐nucleophile to generate bicyclic compounds containing an N‑substituted γ‐lactam moiety.