Several studies used artificial language (AL) learning paradigms to investigate structural priming between languages in early phases of learning. The presence of such priming would indicate that syntactic representations are shared across these languages. Muylle, Bernolet, and Hartsuiker (2020) found similar priming between Dutch (SVO order) and an AL with either SVO or SOV order. However, it is unclear whether such sharing would occur if the AL allows both the same and different word order as the native language. Indeed, the presence of a (easy to share) similar structure might block the sharing of a less similar structure. Here, we report two experiments that each tested 48 native speakers of Dutch on an AL that allowed both SVO and SOV order in transitive and ditransitive sentences. We assessed both within- AL and AL-Dutch priming. We predicted a) priming of both structure and word order within the AL, and b) that the presence of SVO sentences in the AL would result in weaker priming to Dutch from SOV sentences than from SVO sentences. Indeed, cross-linguistic priming was significantly weaker in the SOV compared to the SVO conditions, in line with our predictions. Unexpectedly, in the absence of a condition with verb overlap between prime and target sentences, no priming was found in AL and Dutch target conditions without verb overlap (Experiment 1), but priming emerged when a verb overlap condition was added (Experiment 2). This finding suggests that lexical overlap conditions are crucial to establish abstract syntactic representations during early L2 acquisition.