Software components are now widely used in the develop- ment of systems. However, incompatibilities between their observable in- terfaces may happen and then make their composition impossible. Soft- ware adaptation aims at generating as automatically as possible new components called adaptors whose role is to compensate such incompat- ibilities. Since development of adaptors is costly, it is crucial to make their reconfiguration possible when one wants to modify or update some parts of a running system involving adaptors. In this first attempt, we present the problem of dynamically reconfiguring adaptors and we sketch some ideas of solution on an example. Finally, we end with a list of open issues to be worked out.