  1I/`Oumuamua is the first of likely many small bodies of extrasolar origin to
be found in the solar system. These interstellar objects (ISOs) are
hypothesized to have formed in extrasolar planetary systems prior to being
ejected into interstellar space and subsequently arriving at the solar system.
This paper discusses necessary considerations for tracing ISOs back to their
parent stars via trajectory analysis, and places approximate limits on doing
so. Results indicate the capability to backtrace ISOs beyond the immediate
solar neighborhood is presently constrained by the quality of stellar
astrometry, a factor poised for significant improvement with upcoming Gaia data
releases. Nonetheless, prospects for linking 1I or any other ISO to their
respective parent star appear unfavorable on an individual basis due to
gravitational scattering from random stellar encounters which limit
traceability to the past few tens of millions of years. These results, however,
do not preclude the possibility of occasional success, particularly after
considering the potential for observational bias favoring the discovery of
younger ISOs, together with the anticipated rise in the ISO discovery rate
under forthcoming surveys.
