Business process orientation, as well as business process management is not a new concept for private companies but is it applicable to public institutions. The purpose of this paper is to analyse key business processes in a public agency that is tasked with management and control of projects financed from ESI funds. The process of ex-ante check of tender documentation drafted by grant beneficiaries will be analysed in the view of its purpose of detecting and proposing risk management measures. Aside from that process, the focus lies on ex-post verification of procurement procedures that have been finalised, ending in procurement contracts that are subject to possible errors and irregularities that arise from the procurement process. Consequences of these errors are dire, and their nature is financial, which makes it all the more important to ensure sustainability of this business process, both for the agency as well as the beneficiaries who bear financial corrections. The aim would be to diminish the consequences and to actively manage them. This paper proposes, analyses and defines the best business process models to achieve business process optimisation. To accomplish this, the subject matter will be defined by means of analysing the business process management theory and scientific papers with practical applications of the theoretical framework to define benefits from business process management, identify flaws of the current business process model and propose measures of improvement. The modelling of processes is done through BPMN 2.0 which is universally applicable and easily comprehensible.