Multiple Finish Build Trigger

Hi,

I have multiple build configurations based on a template, I'm trying to create a new build configuration that is triggered whenever one of those builds finishes and use the parameters from the one that triggered. They all have common parameters, is there a way to use the parameter from the build which triggered the build?

Example 

Template T has parameter VALUE

Build configurations A,B,C uses template T

I create a build configuration Publish, which has finish build triggers and snapshot dependencies for A,B,C

I would like to use parameter VALUE from the snapshot that triggered the build

Is that possible?

Thanks!