  We undertake the study of profinite quandles. We provide several
constructions of profinite quandles from profinite groups, and from other
profinite quandle. We characterize which subquandles of profinite quandles are
again profinite. Finally, we provide a characterization of algebraically
connected profinite quandles in terms of the profinite completion of their
inner automorphism groups $\widehat{\Inn(Q)}$. It is anticipated that the
results herein will find applications to the \'{e}tale homotopy theory of
number fields.
