Several ground-based telescopes followed the event of the Huygens probe descent through Titan's atmosphere (14 January 2005). We used the Nasmyth Adaptive Optics System Near-Infrared Imager and Spectrograph (NACO) adaptive optics system at the UT-4 of the Very Large Telescope in Chile to perform both spectroscopic and imaging measurements of Titan. We present here a selected sample of the spectra we acquired on 16 January 2005 in the K band between 2.03 and 2.40 μm. Our spectra include the Huygens landing site and surrounding dark and bright areas. We apply a radiative transfer code using new methane absorption coefficients calculated in the 2-μm region. The analysis of the data yields information on the atmosphere and surface properties of these areas. The latter seem to indicate a strong decrease of Titan's surface albedo between 2.03 and 2.12 μm in all areas. This is compatible with the presence of ices such as CH4 and H2O at the surface. Sensitivity tests on the influence of the haze profile and the methane absorption on these results were performed.