  We compute explicitly the two-dimensional version of Basso-Dixon type
integrals for the planar four-point correlation functions given by conformal
fishnet Feynman graphs. These diagrams are represented by a fragment of a
regular square lattice of power-like propagators, arising in the recently
proposed integrable bi-scalar fishnet CFT. The formula is derived from first
principles, using the formalism of separated variables in integrable SL(2,C)
spin chain. It is generalized to anisotropic fishnet, with different powers for
propagators in two directions of the lattice.
