Triggering goals on third-party websites

Hi guys,
I am new to piwik and am excited about using it for several applications. I have a question about goals. From what I have determined, this is the way piwik tracks conversions. My question is if I have many websites that funnel into one e-commerce website, is it possible for the e-commerce website to pick up session data and trigger the goal conversion similar to how google adwords works? My end goal is to determine what keywords are converting on these referral websites. Any help would be appreciated.

that should be technically possible. can you please explain in detail how adwords works with this, how you trigger the goal, what are the different options available, pointer to documentation, etc. thanks