The manuscript explores the psycholinguistic processes responsible for cross-linguistic influence in translation. In two experimental studies with professional translators-in-training, we investigate the psycholinguistic foundations of shining-through effects in translated texts, i.e., cases where the grammatical structure of a source sentence leaves traces in the translated sentence. Experiment 1 reports the results from a translation task investigating the influence of the grammatical structure of the source sentence on structural choices for its translation. The results showed a significant influence of source sentence structure, which gradually decreased with increasing translation competence scores. In Experiment 2, we investigated to what extent the effect of source structure influence found in Experiment 1 can be accounted for through cross-linguistic structural priming. In a cross-linguistic priming experiment in which the source sentences from Experiment 1 were used as primes, participants showed no evidence of structural priming. A cross-experiment comparison revealed significant source sentence influence in the translation task, but no such effect in the priming task, for matched sets of sentences. Our results cast doubt on the claim that shining-through effects in translation are caused by cross-linguistic structural priming. We suggest an alternative account which instead explains structural cross-linguistic influence in translation through serial lexical co-activation.