We study in this paper the use of UML as a tool for modelling the process of software construction. As a case study, we deal with the process of building a library of software components. UML is used in order to define the static part of the process, i.e., the elements that take part on it and their structural relationships. We think that our approach supports some interesting properties in the field of software process modelling (e.g.: modularity; expressivity in model construction; sound formal basis; and flexibility in model enactment). Besides showing the adequacy of UML for modelling the static part, the paper outlines also some drawbacks concerning the description of the dynamic behaviour of the process using only UML, and some possible solutions to them.