  We present results from new, detailed computations of lithium production by
hot bottom burning (HBB) in asymptotic giant branch (AGB) stars of intermediate
mass. The dependance of lithium production on stellar mass, metallicity, mass
loss rate, convection and overshooting are discussed. In particular, nuclear
burning, turbulent mixing and convective overshooting (if any) are
self-consistently coupled by a diffusive algorythm, and the Full Spectrum of
Turbulence (FST) model of convection is adopted, with test comparisons to
Mixing Length Theory (MLT) stellar models.
