Nowadays, supply chains must be able to manage highly challenging market conditions due to increased volatility and uncertainty. The application of Lean practices in the scope of Supply Chain Management (LSCM) can promote the reduction of inventory levels, delivery times, and costs, thus improving customer satisfaction. In this context, this paper aims to identify suitable strategies to implement the pull production system that enable higher operational performance in dyadic supply chains. For this, three replenishment pull system strategies related to a supplier-customer relationship were considered. The proposed strategies were evaluated based on a case study in a company belonging to a metal-mechanic supply chain. The results obtained through computer simulation were analyzed comparing the supply chain performance in relation to lead time and service level (delivery). With the evaluation of the proposed strategies, this paper contributes to the knowledge of the applicability of this practice in the supply chain, and provides support for decision making on the best strategy to promote the success of a lean supply chain.