  We explore what may be learned by close encounters between extrasolar minor
bodies like `Oumuamua and the Sun. These encounters may yield strong
constraints on the bulk composition and possible origin of `Oumuamua-like
objects. We find that such objects collide with the Sun once every 30 years,
while about 2 pass within the orbit of Mercury each year. We identify preferred
orientations for the orbits of extrasolar objects and point out known Solar
System bodies with these orientations. We conclude using a simple Bayesian
analysis that about one of these objects is extrasolar in origin, even if we
cannot tell which.
