Um, the Italian system, like the US and UK systems, has
civil law and
criminal law systems. Unlike the others, the Italians intertwine the two. Regardless, the 'lay judges' are in all functions identical to Jurists in the other systems, they just have a fancy name and share responsibility for the verdict with the pair of actual judges, who are the ones that give actual rulings etc.
Of course, the above is tempered by the reality that the Jurists, er, I mean
Lay Judges (hard to hold back the smirk here), rarely contradict the opinions of the real Judges, and are essentially just decorations to supply the illusion that Italians will be judged by their peers, rather than authorities who answer only to themselves.
Here is a good reference to how the Italian System functions and how it got to this point (and how it keeps taking steps forward only to take them back):
http://www.csm.it/documenti pdf/sistema giudiziario italiano/inglese.pdf