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We report VLBA polarimetric observations of the CSS sources 3C119, 3C318, and3C343 at 5 and 8.4 GHz. The CSS source 3C119 has source rest-frame RM values upto ~10200 rad/m**2 in a region which coincides with a change in the directionof the inner jet. This component is located ~325 pc from the core, which isvariable and has a peaked radio spectrum. In the case of 3C318, a rest-frame RMof ~3030 rad/m**2 has been estimated for the brightest component whichcontributes almost all of the polarised emission. Further, two more extendedcomponents have been detected, clearly showing "wiggles" in the jet towards thesouthern side of the source. The CSS source 3C343 contains two peaks ofemission and a curved jet embedded in more diffuse emission. It exhibitscomplex field directions near the emission peaks, which indicate rest-frame RMvalues in excess of ~6000 rad/m**2. The locations of the cores in 3C318 and3C343 are not clear. The available data on mas-scale rest-frame RM estimatesfor CSS sources show that these have a wide range of values extending up to~40000 rad/m**2 in the central region of OQ172, and could be located atprojected distances from the core of up to ~1600 pc, as in 3C43 where thisfeature has a rest-frame RM of ~14000 rad/m**2. RM estimates for cores incore-dominated radio sources indicate that in addition to responding to anoverall density gradient of the magneto-ionic medium, geometry, orientation andmodes of fuelling may also play a significant role. In addition to theseeffects, the high values of RM in CSS sources are possibly due to dense cloudsof gas interacting with the radio jets. The observed distortions in the radiostructures of many CSS sources are consistent with this interpretation.

Radio Polarimetry of 3C119, 3C318, and 3C343 at milliarcsecond resolution