We observed the field of GRB 100206A (Swift trigger #411412; Krimm et al., GCN 10376) simultaneously in g'r'i'z'JHK with GROND (Greiner et al. 2008, PASP 120, 405) mounted at the 2.2 m MPI/ESO telescope at LaSilla Observatory (Chile). Observations started on 7 February 2010 at 00:31 UT, 11 hours after the GRB trigger, and were performed at high airmass and poor seeing conditions. In stacked images with a total integration time of 40 minutes in JHK and 50 minutes in g'r'i'z' we do not detect the object reported by Levan et al. (GCN 10386) and Berger et al. (GCN 10395) down to the following limits, all in the AB system: g' > 23.2, r' > 23.4, i' > 22.4, z' > 22.2, J > 21.2 , H > 20.7 and K > 20.0 These upper limits have been obtained using the GROND zeropoints and 2MASS field stars as reference. The nearby object (Miller et al., GCN 10377, Bhattacharya et al., GCN 10380, Guziy et al., GCN 10384, Leloudas et al., GCN 10387, Cenko et al., GCN# 10389, Morgan et al., GCN 10390, Mao et al. #10392) is detected in all seven bands.