Lazio thumped four goals past Romanians Cluj, while Chievo held Racing Santander and Atalanta beat Sampdoria.
Cluj were in the Champions League last season and beat Roma, but they had no such luck against their city rivals.
Hernanes converted a penalty, while Miroslav Klose, Cristian Brocchi and Simone Del Nero were also on target. Cojocnean scored the only goal for Cluj in the 4-1 result.
In other friendly news, Chievo earned a creditable 2-2 draw with Spaniards Racing Santander.
Cyril Thereau opened the scoring in the first half, then a Sostres penalty and Arana deflected strike turned the game around.
However, in stoppages young Chievo player Djengoue tapped in the equaliser for a 2-2 result.
Atalanta beat recently-relegated Sampdoria 1-0 in a match that was only decided at the 87th minute by Simone Padoin.
See the latest Serie A predictions and betting tips with Eurotips.co.uk