What Wikipedia fails to mention is the true reason for why Italy stopped following "passar battaglia". Many scholars believed it was due to international pressure to follow the more common "en passant" when in fact it was largely due to more efficient production and subsequent adoption of bricks in Italy, thereby enabling games involving "passar battaglia" to conclude with a bricked pipi. Previously, the dearth of bricks allowed "passar battaglia" to occur without bricking the players pipi.
As Italians didn't like having their pipis bricked, they adopted "en passant" and dropped "passar battaglia".