The Stable fly, Stomoxys calcitrans, is a common and worldwide-distributed blood-feeding fly. It is the vector of numerous pathogens including Besnoitia besnoiti, a cyst-forming coccidian parasite of cattle. Vector competency of S. calcitrans for B. besnoiti remains poorly understood. We investigated here the persistence of bradyzoites and tachyzoites forms of B. besnoiti on mouthparts and in digestive tract of S. calcitrans. In experimental conditions, B. besnoiti proved to persist until two days in stable flies. The fast destruction of parasite within this vector suggests that mechanical transmission could occur a short time only after a contaminated blood meal. Moreover, we investigated the competence of stable flies to transmit immediately B besnoiti bradyzoites and tachyzoites to susceptible rabbits after an interrupted blood meal on chronically infected cows (source of bradyzoites) or on a tachyzoite-contaminated blood meal. The results show that 300 S. calcitrans only were able to transmit virulent bradyzoites to rabbits which suffered from clinical signs of acute besnoitiosis and seroconverted. In the third part of this study, we examined sustainable methods as alternative to insecticides but efficient to control this pest. Seven different types of blue screens, with slight differences in their reflectance around 460 nm, were tested in order to evaluate their attractiveness for stable flies and to determine the factors associated with the efficiency of trapping (height of screens, east versus west side of blue screen, proximity of different hosts and manure). The results showed high attractiveness, high number of captures and very high selectivity of all tested screens, with a total number of 164692 stable flies during the study (24 days of capture, 4 blue screens per day, 8 hours per day). The results showed that the lower part of the blue screens caught the majority of stable flies, whereas the east orientation was the most attractive which caught up to 60 % of the total number captured of stable flies. Taking together, these results are highlighting the interest of these new devices in the future control of stable flies.