To study the dynamics of a binary liquid mixture in glass pores we have performed a molecular dynamics simulation and measured the concentration fluctuation autocorrelation function F-m(q,t) and several other dynamic functions. The relaxation pattern of F-m may be described with an exponentially decaying diffusion term and a logarithmically decaying activation term. Although the system is at a very high temperature in the one-phase region, the results for the velocity autocorrelation functions and the mean-square displacement functions are deceptively similar to those of the bulk when the bulk is in its two-phase region. We discuss what this may mean when the pore size is very large.