This work presents a perspective on the Healthgrid initiative which involves European projects deploying pioneering applications of Grid technology in the health sector. In the last couple of years, several Grid projects have been funded on health related issues at national and European levels. A crucial issue is to maximize their cross fertilization in the context of an environment where data of medical interest can be stored and made easily available to the different actors in health care, physicians, health care centres and administrations, and of course the citizens. The Healthgrid initiative, represented by the Healthgrid association, was initiated to bring the necessary long term continuity, to reinforce and promote awareness of the possibilities and advantages linked to the deployment of Grid technologies in health. Technologies to address the specific requirements for medical applications are under development. Results from the DataGrid and other projects are given as examples of early applications.