Parma ended its wait for a first win at Stadio Picchi and consigned Livorno to a fourth consecutive defeat with a 3-0 Serie A victory.
Amauri followed up his goal against Torino earlier in the week with a brace as Roberto Donadoni's side stretched its unbeaten run to nine games and moved up to seventh in the table.
Second-bottom Livorno, on the other hand, has lost seven of its last eight games and not won for over two months.
The visitor took the lead after only two minutes, when former Livorno loanee Raffaele Palladino arrived at the far post to volley home a Jonathan Biabiany cross.
Amauri doubled Parma's lead four minutes from time and the striker was on target again from the penalty spot after Emerson fouled Pedro Mendes on a miserable afternoon for Livorno.
Davide Ballardini's new side Bologna held his former club Lazio to a goalless draw.
Ballardini this week replaced Stefano Pioli on a short-term deal until the end of the season and got up and running with a point to ensure Lazio is still yet to win away from home in Serie A this season.
Bologna is now two points above third-bottom Sassuolo, which plays AC Milan on Sunday.