  The competition between antiferromagnetism and the $d+id$ superconducting
state is studied in a model with near and next near neighbour interactions in
the absence of any on-site repulsion. A mean field study shows that it is
possible to have simultaneous occurrence of an antiferromagnetic and a singlet
$d+id$ superconducting state in this model. In addition, such a coexistence
generates a triplet $d+id$ superconducting order parameter with centre of mass
momentum $Q=(\pi, \pi)$ {\it dynamically} having the same orbital symmetry as
the singlet superconductor. Inclusion of next nearest neighbour hopping in the
band stabilises the $d_{xy}$ superconducting state away from half filling, the
topology of the phase diagram, though, remains similar to the near neighbour
model. In view of the very recent observation of a broad region of coexistence
of antiferrmagnetic and unconventional superconducting states in organic
superconductors, the possibility of observation of the triplet state has been
outlined.
