The present study examines narrative competence and its relationships with syntactic and prosodic skills in preschool children. The narrative skills of 30 typically developing Italian children were assessed during their first year of kindergarten attendance (T1) and again one year later (T2). A picture book was used to elicit children's narratives. All stories were examined for narrative competence, syntactic complexity and prosody. The results are discussed in the context of the relationships between prosody and the other linguistic skills, considering that the children who were more proficient storytellers and exhibited better syntactic construction were generally less able to produce their utterances within a single melodic contour. Therefore, the linguistic and cognitive abilities required by a storytelling task may negatively influence a child's ability to produce sentences within a single melodic contour.