Problems of the drawings composition in interactive CAD systems are discussed. The composition is an insertion of one drawing (a fragment) into another one. An interactive technique of preliminary fragment preparation is considered only. In current CAD systems the capabilities of fragment attachment and geometry variation are severely limited. We propose a technology to expand these capabilities. This technology is based on the individual attachment of some fragment elements and dimension driven variation of fragment geometry. It is shown that the proper positioning of attachment elements can be done only if inserted fragment elements are visualized in the stepwise manner. The implementation of proposed technology by using the tools of the interactive DDCAD system is discussed.