UPDATED MAY 2016
I’m saddened to report that with the introduction of the new Cinque Terre Express light rail (and the increased ticket prices that came with it), TrenItalia has done away with the weekly pass for the Cinque Terre trains*. At this point, I’m recommending that visitors purchase the Cinque Terre Card if they plan to take numerous trains in one day. For more information on the Cinque Terre Card and all that it entails, click here. Rest assured that I will update on the blog if a loophole is found or if something more cost-effective comes out of the woodwork.
*While not available to visitors, the weekly pass is still available for residents of the Cinque Terre, Levanto and La Spezia (but proof of residency is required).