The hepatitis C virus (HCV) infection continues to represent a significant public health threat and is a leading cause of liver cirrhosis, liver cancer, and liver-related mortality. The World Health Organization (WHO) has set a goal for 2030: to eliminate HCV infection as a public health threat by reducing new HCV infections by 90% and mortality by 65%. The early phase of HCV infection represents a pivotal point in the evolution of hepatitis C. Despite a favourable course in the majority of patients, approximately 50–70% of individuals with recently acquired hepatitis C will develop a chronic infection, defined as the persistence of viremia for a period exceeding six months. The diagnosis and treatment of a recent HCV infection should facilitate engagement in multidisciplinary care, prevent the development and complications of chronic liver disease, and reduce ongoing transmission in key populations. Therefore, early treatment in the early phase of infection compared with deferring treatment until the chronic infection remains a valid approach in the era of direct antiviral agents (DAAs). This approach is supported by a cost-effectiveness analysis. The aim of this review is to synthesise the existing knowledge on the early phase of hepatitis C virus infection, with a particular focus on the current risk factors, natural history, therapeutic management, and future perspectives.