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The nature of the galaxies that give rise to absorption lines, such as dampedLyman-alpha systems (DLAs) or strong MgII lines, in quasar spectra is difficultto investigate in emission. Taking advantage of the total absorption of the QSOlight bluewards of the Lyman limit of two DLAs at z>3.4, we look for thecontinuum emission from intervening galaxies at z~2 that are identified viastrong metal absorption lines. The MgII absorbers have equivalent width largeenough to be potential DLA systems. Deep images are obtained with the FOcalReducer and Spectrograph (FORS1) on the Very Large Telescope for the fieldstowards SDSS J110855+120953 and SDSS J140850+020522. These quasars have MgIIabsorption lines at z=1.87 (W_r(MgII)=2.46 A) and z=1.98 (W_r(MgII)=1.89 A),respectively, and each QSO has two intervening higher redshift DLAs at z>3. TheU and R bands of FORS1 lie blue and redwards of the Lyman limit of thebackground DLAs, allowing us to search for emission from the foregroundgalaxies directly along the lines of sight to the QSOs. No galaxies are foundclose to the sight line of the QSO to a point source limit of U_AB=28.0. Inboth fields, the closest objects lie at an impact parameter of 5 arcseccorresponding to 40 kpc in projection at z=2, and have typical colours of starforming galaxies at that redshift. However, the currently available data do notallow us to confirm if the galaxies lie at the same redshifts as the absorptionsystems. A more extended structure is visible in the SDSS J14085+020522 fieldat an impact parameter of 0.8 arcsec or 7 kpc. If these objects are at z~2their luminosities are 0.03-0.04 L* in both fields. The star formation ratesestimated from the UV flux are 0.5-0.6 M_sun yr^-1. (Abbreviated).

Uncovering strong MgII absorbing galaxies: Imaging below the Lyman limit