Value-Added Compounds (VACs) are molecules that have attracted great attention in the literature regarding their potential for integration into existing processes or products. In Winery Wastewater (WW), VACs are valuable because of their antioxidant characteristics. Furthermore, integrated systems for recovery of these molecules and treatment of WW can be a powerful strategy towards an environmentally efficient way of wine production. Therefore, a bibliometric analysis was conducted to establish the status and trace research trends on that topic. The analysis investigated the Web of Science database from 1953–2023, where the software VOSviewer® and R were used. Secondly, an extensive literature review was carried out on VACs recovery from WW by membrane process, which was identified as a promising strategy. As a result, the historical evolution of publications has a growing behavior while citations take time to grow. The most productive authors, journals, and countries were analyzed, with Spain being the leading country in publications on that topic. Lastly, keyword mapping revealed the relevance of “circular economy” and “biorefinery” as knowledge transfer concepts where both traditional and emergent technologies are connected towards the achievement of sustainable development goals. The recovery of phenolic compounds from wine production through membrane processes stands out as a promising technology. Different recovery approaches using membrane processing were assessed in the review. Studies could achieve up to 100% phenolic compound and polysaccharide rejections and also addressed the possibility of fractioning these compounds.