It has been proposed that second language (L2) learners differ from native speakers in processing due to either influence from their native language or an inability to integrate information from multiple linguistic domains in a second language. To shed new light on the underlying mechanism of L2 processing, we used an event-related potentials (ERP) paradigm to examine the processing of sentences with "only" in English by native speakers of English and advanced Dutch learners of English. Successful processing of sentences with "only" requires rapid integration of prosodic information with semantic and syntactic information. We found that L2 listeners showed native-like processing of the acoustics of contrastive pitch accents when adjacent to "only." However, they needed more cues than L1 listeners to perform native-like in forming expectations for focus placement. Our results thus provide first ERP-based evidence for difficulty in the integration of information for focus expectation in difficult L2 constructs.