In [CS04], Calegari and Stein studied the congruences between classical cusp forms Sk(Γ0(p)) of prime level and made several conjectures about them. In [AB07] (resp., [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. © 2021 Elsevier Inc.