Two-dimensional arrays of optical waveguides, which feature dispersion, nonlinearity and discrete diffraction, support the propagation of spatiotemporal solitonic structures. Several structures with intrinsic vorticity S = 1 and 2 were studied by means of the variational analysis and numerical methods. Some vortices with S = 1 are stable. Numerical studies of
interactions between them make it possible to identify four typical outcomes of the collisions, depending on the initial relative velocity of colliding solitons: rebound of slow solitons, fusion, splitting, and quasi-elastic interactions of fast solitons.