We present the progress and challenges of constructing a Mixe-Spanish parallel corpus for Machine Translation. Mixe is a Mexican Indigenous Language that is spoken by more than 100, 000 speakers. In particular, we focus on the San Juan Guivicovic Mixe variant (mir). The resulting resource is available under an open research license (CC BY-NC-SA). It was created following a previous state-of-the-art methodology for Mexican indigenous languages. In this case, we used paid translators from the variant region. We present a baseline system.