Combining database tuning actions has neither a precise formulation nor a formal approach to solving it. It is a complex and relevant problem in database research, both for the DBA manual solutions and automatic ones using specialized software. This work proposes an automated method for generating and selecting combined tuning solutions for relational databases. It addresses how to mix solutions while still preserving both technological constraints and available computational resources. The results show that our technique can produce more efficient combined solutions than independent local solutions.