The Agent in Grid project (AiG) attempts to integrate the concept of the Grid and an agent-based system to facilitate efficient resource management in the Grid. In this paper, we present preliminary considerations concerning multiple equivalent simultaneous offers strategy that can be used in the Service Level Agreement (SLA) negotiations. These negotiations are the key part of the main use case scenarios within the AiG project. In this context, first, we describe the AiG system. Second, we introduce the simultaneous offer strategy, as a mechanism known from economy, and suggest an approach for using it in the AiG negotiations.