  An arrangement of pseudocircles $\mathcal{A}$ is a collection of Jordan
curves in the plane that pairwise intersect (transversally) at exactly two
points. How many non-equivalent links have $\mathcal{A}$ as their shadow?
Motivated by this question, we study the number of non-equivalent positive
oriented links that have an arrangement of pseudocircles as their shadow. We
give sharp estimates on this number when $\mathcal{A}$ is one of the three
unavoidable arrangements of pseudocircles.
