We present results from an extensive study upon cooling on the behavior of a model glass former, a liquid Lennard-Jones binary mixture, confined in a model for Xerogels. Modification of the dynamical and thermodynamical behavior on approaching the glass transition with respect to the bulk are studied. The Mode Coupling Theory is able to account for the behavior of the liquid mixture also in confinement, but with important differences with respect to the bulk. A study of the thermodynamic behavior via inherent structure analysis is also performed and the Kauzmann temperature is evaluated from the behavior of the configurational entropy. (c) 2005 Elsevier B.V. All rights reserved.