The global features of the interaction between Saturn's magnetospheric plasma flow and Titan's atmosphere/ionosphere are simulated by using a 3-D, multi-species, high spatial resolution, global MHD model. Our model uses a spherical grid structure leading to very good (~36 km) altitude resolution in the ionospheric region of Titan. The model also provides good resolution and meaningful results in the upstream and wake regions. Titan's atmosphere and ionosphere are approximated by 10 neutral and 7 ion species. Calculations, which make predictions for the anticipated results to be obtained by the Cassini spacecraft during its first close flyby (TA) of Titan, are presented.