  Using very high-resolution (R$\sim$ 125,000) and high quality (S/N $\geq$
350) spectra, we have searched for $^{6}$Li in stars hosting extra-solar
planets. From detailed profile-fitting of the Li {\sc i} resonance line at
6707.7 \AA, we find no significant amount of $^{6}$Li relative to the $^{7}$Li
for any of 8 planet bearing stars ($^{6}$Li/$^{7}$Li $\leq$ 0.0 - 0.03) with a
strong Li {\sc i} lines. In particular, we do not confirm the presence of
$^{6}$Li with $^{6}$Li/$^{7}$Li = 0.13 reported by Israelian et al.(2001) for
HD 82943, a star with two known planets. Several of the 8 stars plus HD 219542
A, the planet-less primary of a binary, have been identified in the literature
as possible recipients of accreted terrestrial material. For all of the
planet-hosting stars and an additional 5 planet-less stars, we find no
$^{6}$Li.
