This thesis proposal presents a process model for design composition using a representation for the formal characteristics of design solution composition. The design process model is based on adapting previous solutions to generate new designs using derivational analogy. The model relies on a visual representation of design compositions. This representation encodes functional and form attributes of design and is used to build compositional characteristics of the design. The research proposes the use of Solution Traces (Sol-Traces) as constructs for recording and reusing the design composition path which including history, alternatives, and decisions.