The article aims to highlight consequences to be faced by the parties to a public contract award procedure for accepting a tender whose price, cost or their constituent items are abnormally low in relation to the subject of the contract and raise doubts of the contracting authority. The consequences are taken not only by the contracting authority and the winning bidder but also by other entrepreneurs participating in the procedure and by the population of the country. The article argues for new solutions in public procurement and stresses the need to modify the existing regulations to prevent such practices. First of all, the relevant legal provisions should be reviewed (or new ones laid down) that will deter non-reliable contractors from entering contract award procedures.