Aims. Our aim is to investigate the surface composition of TNOs. In particular we would like to confirm diverse spectral absorption features and to search for rotational inhomogeneities on one scattered disk object ( 26375) 1999 DE9, two plutinos ( 38628) Huya and (47932) 2000 GN(171), and one centaur ( 83982) Crantor. Methods. We observed the targets with a new instrument available at the VLT, the near-infrared integral field spectrograph SINFONI. We obtained complete near-infrared spectra between 1.4 and 2.4 mu m and compared them with data recorded previously by various groups. Results. Two objects, ( 38628) Huya and ( 83982) Crantor, have evidence of an absorption feature in their spectra at 2.0 mu m, probably associated with water ice. ( 83982) Crantor shows a feature at 2.3 mu m which could be associated with methanol. On the other hand, no features were found for ( 26375) 1999 DE9 and ( 47932) 2000 GN171 above the signal-to-noise ratio. Possible rotational heterogeneity can be seen on two objects: (38628) Huya as the 2.0 mu m band is present on some spectra and absent on others, while ( 47932) 2000 GN171 shows a flat reflectance in contrast to an absorption in the H region previously seen.