Local livestock breeds in Slovenia have been eligible for financial incentives in the form of a fixed payment per livestock unit (LU) since 2002. The scheme has however not been successful in reversing the erosion of animal genetic resources (AnGR). This paper investigates an alternative, whereby incentive payments would better reflect breeders’ actual opportunity costs. The paper contributes to the limited existing body of knowledge related to the use of tender mechanisms in the design of the payments for agrobiodiversity conservation schemes (PACS), particularly for AnGR. Empirical findings draw on the results of a stated preference survey involving 301 farmers in Slovenia, engaging, or being potentially able to engage, in the rearing of local pig, sheep and goat breeds. Interval and logistic regression model results suggest that willingness to accept (WTA) conservation support significantly differs from actual payment levels. The estimated WTA was found to be 27% lower for the local sheep and goat breeds and 5% higher for the local pig breed, suggesting that differentiated incentive payments would provide a more cost-effective alternative. Additional analysis of breeders’ preferences and motives for engaging in local livestock breed production further informs understanding regarding AnGR conservation policy and the importance of accompanying actions to reverse negative population trends. These include reducing administrative barriers and enhancing the market valorisation of local breeds.