Competition is indispensable for proper function of market economy. In order to secure that competitive process is not harmed, competition authorities on both EU and national level observe conduct of undertakings. In case of a distortion of competition, the competition authorities are entitled to impose remedies. This article deals with the legal regulation of remedies within EU law and Slovak law, completed by discussion on significant cases and relevant opinions of scholars. It concentrates on antitrust part of competition law, providing complex view on the problematics. The discussion is supplemented by presentation of legal regulation of public procurement and cases, which were concerned with both antitrust and public procurement issues, bid rigging in particular. The dangerousness of this practice is confirmed by a recent Slovak case on luncheon vouchers, which is analysed in the last part of the article