We observed the field of GRB 240905E detected by Swift/BAT (Dichiara et al., GCN 37397) and SVOM/GRM (SVOM/GRM team, GCN 37404) with the REM 60cm robotic telescope located at the ESO observatory of La Silla (Chile). The observations were carried in the g, r, i, z, J, H, K bands, starting on 2024 September 06 at 01:36:22 UT (i.e. 7.2 hours after the Swift trigger), and lasting for about 1 hour. From preliminary photometry we do not detect any optical/NIR counterpart at the Swift-XRT refined position (Ferro et al., GCN 37406) down to the following 3sigma magnitude upper limits: r > 19.1 (AB; calibrated against the PanSTARRS catalogue) at a mid-time of t - t0 = 7.7 hours after the trigger J > 17.5 (Vega; calibrated against the 2MASS catalogue) at a mid-time of t - t0 = 7.8 hours after the trigger.