This paper present new evolutionary computations extending toward the
lower main sequence previous computations given for globular cluster s
tars. We discuss the physical inputs with particular regard to the lim
it of the adopted usual treatment of the stellar atmosphere, which all
ows a tight correlation with actual stellar structures only for select
ed ran of masses, depending on the assumed metallicity. Theoretical ev
olutionary properties of Very Low Mass (VLM) stars are presented and d
iscussed. We find that adopting new extended tabulations of radiative
opacity, as computed according to Alexander & Fergusson (1994) procedu
res and by relying on the Saumon & Chabrier (1992) equation of state (
EOS) our results allow a reasonable fitting of HST observation of meta
l poor VLM objects in the galactic globular NGC 6397. The investigatio
n has been extended to a sample of held VLM star with known parallaxes
, showing again a satisfactory agreement with the distribution of meta
l poor dwarfs and discussing the present theoretical scenario for sola
r metallicity VLM. Selected evolutionary quantities are presented in s
uitable tables for metal poor objects (Y = 0.23, Z = 0.0001, 0.0003, 0
.0006 and 0.001). A brief discussion including a comparison of mass-lu
minosity relations for VLM objects for the various investigated metall
icities closes the paper.