Dyslexia and L2 learning

I am curious about dyslexic students. My question is does interference in the aquisition of first language (L1) learning also interefere in the learning of a second language (L2), or is it specific to the L1 where the learning of L2 allows for the neurological / cognitive links to be created afresh? I don't have any answers yet but will add to this post when I find more research on this topic.