Donor-conceived families are challenged to disclose origins to their children. Developmental psychology has scarce evidence about how these conversations unfold. These are discourse-dependent families; hence, how families talk about these stories is relevant for children’s development. This research explored these conversational processes and it was achieved with a descriptive and naturalistic approach with 45 participants belonging to 17 donor-conceived families (heteroparental, monoparental and homoparental): 22 mothers, 4 fathers, 11 daughters and 8 sons, aged between 3 and 8, all living in Chile and self-identified as Latino ethnicity. This paper focuses on the analysis of the conversations. The main results show that conception stories are complex, intimate, mother-led, brief in extension, co-constructed, with asymmetrical contribution (parents scaffolding), interactive and context-dependent. The relevance of these results is that they can be used in the design of empirically based strategies to support these family conversational processes.