Bending or forming a solid using multiple other solids as tools

This is a simplified example of something I'm trying to do... I have three components in my assembly two forming tools on the top and bottom and the part to be formed in the middle. I want bend or form the middle component in-between the other two components. Basically making a sandwich out of the three parts... help? eventually I'd like to wrap a tube around the top body using the bottom as a pushing tool.