The external region of the Solar System contains a vast population of small icy bodies, believed to be remnants from the accretion of the planets. The transneptunian objects (TNOs) and Centaurs (located between Jupiter and Neptune) are probably made of the most primitive and thermally unprocessed materials of the known Solar System. In October 2006 we started a large programme (500 hours, PI M.A. Barucci) at the ESO-VLT Observatory to study the surface properties of TNOs and Centaurs by carrying out simultaneous visible and near-infrared spectroscopic observations for about 50 objects with various dynamical properties. The aim of this programme is to unambiguously detect and quantify the main icy compounds present on the surface of the selected TNOs and constrain their composition with a high accuracy. In greater details, we: i) search for the spectral signatures of compounds such a H2O, CH4, CH3OH, N2, NH3, CO2, and CO ices; ii) search for the presence of hydrated minerals; iii) attempt to discriminate between the states of crystalline and amorphous H2O ice on their surface; and iv) investigate the presence of organics and silicates on the surface. For a few objects, complementary observations in polarimetry and photometry were also carried out to better investigate the surface characteristics. I will present and discuss the first results obtained during the first year of observations of our programme.