  We report the results of a deep search for the optical and near infrared
counterpart of the microquasar source GRS1758-258. At least two possible
candidate counterparts of the binary star companion have been recognized on the
basis of astrometric coincidence to within 1". Our photometric study shows that
the brightest of them would be consistent with a K-type giant star, while the
weakest one would be a main sequence F companion. Follow up spectroscopic
observations in the near infrared H and K-bands have failed so far to provide
evidence for emission lines that may support an unambiguous identification.
However, the proximity of these two sources to the sub-arcsec VLA radio
position of GRS 1758-258 makes them deserving further attention in the future.
