I used this tutorial by underdark (thanks much :-) ) to convert my area of interest from OSM file (whole Czech Republic downloaded from Geofabrik.de server). Used OSGEO4W shell (saying "GDAL 1.11.0, released 2014/04/16") and following command:
C:\GIS\CZ_OSM_data_2014-07-22T20-21-02>ogr2ogr -f "SQLite" -dsco SPATIALITE=YES -spat 12.50004 50.46600 12.93001 50.15486 nejdek_OSM_2014_07.db czech-republic-l
I loaded the exported DB in QGIS and found out that the places labels are not displayed correctly in QGIS 2.4.0-Chugiak (GDAL/OGR 1.11.0, SpatiaLite 4.1.1) running on Windows 7 64bit while the same project is ok when opened in 2.4.0-Chugiak (GDAL/OGR 1.10.0, SpatiaLite 4.1.1) running on 32bit Kubuntu linux on my laptop.
Tried to find and encoding settings or something similar but no success...
Any advice or idea what am I doing wrong?