Research on how non-natives process and learn binomials (black and white) is limited. The present study addresses this gap using online (eye-tracking) and offline (familiarity rating) tasks. Sixty non-native speakers of English (L1 = Arabic) read six stories seeded with 21 novel binomials in three conditions: one exposure, six exposures, and no exposure (i.e., only in post-test) in a counter-balanced design. Each item was also presented in the reversed order (white and black). The non-natives read the stories as their eye movements were monitored and answered comprehension questions. In addition to the novel binomials, 12 existing binomials (congruent with Arabic) were included in the passages as a baseline for comparison. After completing the reading task, the participants completed an offline rating task as a measure of declarative knowledge of the binomial configuration (i.e., word order). All items were rated twice, once in the forward direction and once in the reversed direction. Online results showed that non-natives were not sensitive to the configuration of existing binomials, and there was limited evidence of any sensitivity to novel binomials. Offline, non-natives showed sensitivity to the configuration restrictions of existing binomials but not novel ones.