Grape is considered one of the largest fruit crops in the world, since its 2017 production, the vast majority of which was used in winemaking, reached 74 MT globally and 24 MT in the EU. The main target of this paper is to highlight the urgent need for transforming the linear model into a circular one in the case of agriculture, and especially in wine production. According to the International Organization of Vine and Wine, Greece held 1.3% of the total European wine production in 2018 (300,031 tons of wine), while at the same time it was ranked in the twelfth place in terms of wine production on a global scale. Therefore, it is of great significance to implement the circular economy model in Greek wineries. After an extensive literature review, this paper aims to examine whether a circular economy could be implemented in wineries adequately. Last but not least, it presents some of the valuable products that can be obtained from grape marc not only in the food industry but also in cosmetics, phyto-pharmaceutic sector, and in the animal feeding or bio-fertilizers.