Li abundances are derived for a sample of bulgelike stars with isochronal ages of 10-11 Gyr .
These stars have orbits with pericentric distances , R _ { p } , as small as 2-3 kpc and Z _ { max } < 1 kpc .
The sample comprises G and K dwarf stars in the metallicity range -0.80 \leq [ Fe/H ] \leq +0.40 .
Few data of Li abundances in old turn-off stars ( \geq 4.5 Gyr ) within the present metallicity range are available .
M67 ( 4.7 Gyr ) and NGC 188 ( 6 Gyr ) are the oldest studied metal-rich open clusters with late-type stars .
Li abundances have also been studied for few samples of old metal-rich field stars .
In the present work a high dispersion in Li abundances is found for bulgelike stars for all the metallicity range , comparable with values in M67 .
The role of metallicity and age on a Li depletion pattern is discussed .
The possible connection between Li depletion and oxygen abundance due to atmospheric opacity effects is investigated .