  We formulate a conclusive teleportation protocol for a system in
d-dimensional Hilbert space utilizing the positive operator valued measurement
at the sending station. The conclusive teleportation protocol ensures some
perfect teleportation events when the channel is only partially entangled, at
the expense of lowering the overall average fidelity. We find the change of the
fidelity as optimizing the conclusive teleportation events and discuss how much
information remains in the inconclusive parts of the teleportation.
