  In~\cite{CS04}, Calegari and Stein studied the congruences between classical
cusp forms $S_k(\Gamma_0(p))$ of prime level and made several conjectures about
them. In~\cite{AB07} (resp., ~\cite{BP11}) the authors proved one of those
conjectures (resp., their generalizations). In this article, we study the
analogous conjecture and its generalizations for Drinfeld modular forms.
