Over 1,000 asylum applicants from countries such as Belgium, Holland and Finland voluntarily returned to Slovakia by the end of October with the aid of the International Organisation for Migration.
Most of the returned Slovak nationals were Roma from the east of the country.
Migration of Roma for economic reasons to European countries began in 1997 and has since complicated relations between Bratislava and the fifteen-member bloc.
The EU has urged Slovakia to improve conditions for Roma at home.
Slovakia has told the EU to tighten slack asylum laws and thus remove one of the main motivations for the exodus.
