The performance of large language model (LLM) inference engines heavily relies on deployment-specific parameters such as batch size, parallelism, CUDA graphs, and GPU and network topology, however, with every new LLM released, the optimal setting of these parameters becomes a problem of interest. Additionally, as developers find new applications for LLMs, the parameter space only increases, with large scale inference deployments that span multiple nodes (i.e. llm-d [5]). In this work, we demonstrate ''llm-tuna'', an open-source framework that automates parameter search for vLLM [4] based inference workloads across a diverse set of hardware setups. Our framework utilizes Bayesian optimization via Optuna to select the best configuration while parallelizing trials across multiple nodes to enable large scale studies.