Large language models (LLMs) are a type of deep learning model characterized by an exceptionally high number of parameters. Their significant progress across a wide array of tasks has enabled them to become valuable and versatile tools for a diverse range of applications. Their capabilities present promising opportunities for business process management, although these potential benefits have yet to be thoroughly explored. In this research, we explore the use of LLMs to enhance various aspects of business process management (BPM). The primary focus is on process mining as a subset of BPM. To answer research questions “How are LLMs being integrated with process mining?” and “What are the challenges of integrating LLMs with process mining” we conducted a literature review focused on positioning of LLMs in process mining. In our research we present areas of integration of LLMs in process mining, together with limitations and challenges, and future directions.