Recently a class of quantum-mechanical potentials was presented that i
s characterized by the fact that they are exactly solvable only when s
ome of their parameters are fixed to a convenient value, so they were
christened as conditionally exactly solvable potentials. Here we inten
d to expand this class by introducing examples in two dimensions. As a
byproduct of our search, we found also another exactly solvable poten
tial.