Bari are the last side to qualify for the Fifth Round of the Coppa Italia after thrashing Livorno 4-1.
The San Nicola side are propping up the Serie A table, but rediscovered their form in the Coppa.
It was one-way traffic, partly because Livorno fielded a second string side.
Luigi Rana broke the deadlock after 25 minutes when he earned and converted a penalty.
After the break Andrea Masiello's free kick curled over the wall and into the top corner, then Emmanuel Rivas waltzed through a static Livorno defence.
Marco D'Alessandro completed the rout by redirecting Francesco Caputo's wayward effort.
In stoppages Livorno did get one back with Dionisi's tap-in, but it is Bari who go through to face Milan in the next round .
Bari 4-1 Livorno
Scorers: Rana pen 25 (B), A Masiello 51 (B), Rivas 56 (B), D'Alessandro 73 (B), Dionisi 90 (L)
Think you know your Italian football? Share your knowledge, tips and comments to win cash prizes in OLBG's World Cup tipster competition  - £10,000 to be won!