We present a second paper of fully characterization of a sample of stars whose low-depth transits were discovered by the OGLE-III campaign in order to select the most promising candidates for spectroscopic confirmation , following the same analysis done in Gallardo et al. ( 2005 ) . We present new optical and near-IR photometry , deriving physical parameters like effective temperature ( T _ { \mathrm { eff } } ) , distance ( d ) , the stellar radii ( R _ { \ast } ) and the companion radii ( R _ { \mathrm { c } } ) . We selected eight M ( 2800 K \leq  T _ { \mathrm { eff } }  \leq 3850 K ) or K ( 3850 K \leq  T _ { \mathrm { eff } }  \leq 5150 K ) spectral type stellar objects as potential candidates to host exoplanets , even though , considering the radii of their companions , only stars OGLE-TR-61 , OGLE-TR-74 , OGLE-TR-123 and OGLE-TR-173 are the most promising M-type transit candidates to host planets . Confirmation of the planetary nature of any of these objects will yield another transiting extrasolar planet orbiting a M-type star , or even more interesting , the first extrasolar planets orbiting a late M-type dwarf of effective temperature about 2900 K .