Using Query Builder, is there any way to limit results to the current context?

I know that I can limit queries to a specific context by explicitly naming it as a constraint in the criteria tab (either with name or identifier). But this requires that I manually edit the report for each separate context. Is there some way that I could constrain it to only give results from the context in which the report is run? I would like to have one report defined at site level which would give different results for each context.