Our main aim in this paper is to explore the interlanguage pragmatics of learners of Hebrew and English. We focus on the use of pragmatic indicators, both lexical (please/bevaqaŝa; perhaps/ulay) and grammatical (e.g., the difference between could I borrow and could you lend), with particular reference to deviations from native-speaker norms in the speech of non-native speakers. The analysis follows the analytical framework developed for the Cross-Cultural Speech Act Realization Project (CCSARP). Data from two sets are analyzed: (a) native and non-native Hebrew, and (b) native and non-native English (with occasional reference to other CCSARP data sets). The results suggest that non-native speakers' misuse of pragmatic indicators can have serious interactional consequences, ranging from inappropriateness to pragmatic failure.