  We suggest the possibility of observing and studying bright vortex solitons
in attractive Bose-Einstein condensates in three dimensions with a radial trap.
Such systems lie on the verge of critical stability and we discuss the
conditions of their stability. We study the interaction between two such
solitons. Unlike the text-book solitons in one dimension, the interaction
between two radially trapped and axially free three-dimensional solitons is
inelastic in nature and involves exchange of particles and deformation in
shape. The interaction remains repulsive for all phase delta between them
except for delta \approx 0.
