In this report, we present the results of a two-week research visit by the first author to the University of Pisa. We argue that problems like load-balancing or fault-tolerance can be addressed by integrating autonomic behavior in existing Grid applications. This can be achieved either by investigating novel approaches, such as multi-objective strategies, or by enhancing existing, specific solutions like cluster-aware random stealing [11] or empirically determined threshold of compute nodes [15]. We investigate both the JavaGAT [12] and Satin [14] systems to be augmented by autonomic behavior, based on autonomic managers from Muskel [7]. The main outcome of this report are items of future research work.