Sampdoria and Genoa crashed out of the Coppa Italia on penalties, Catania and Cagliari squeezed through, but Chievo were on song and Torino won a six-goal thriller with Lecce.
Fabrizio Miccoli made short work of Cremonese to send Palermo through, while Bologna thanked Saphir Taider for a brace to push past Serie B side Verona.
Samp are the big casualties of the Third Round fixtures, as they were held to a 1-1 draw by Juve Stabia.
Even extra time could not separate them, so it went to penalties and Maxi Lopez – having scored earlier in the game – saw his spot-kick saved for a 5-4 Juve Stabia victory.
Neighbours Genoa also failed to get past a 1-1 draw with Serie B outfit Hellas Verona and went to a shoot-out.
Ciro Immobile, Bosko Jankovic and Michele Canini all made mistakes as Verona kept their nerve at Marassi.
Reggina were held by Modena, but went wild in extra time with another four goals.
Catania scraped past Sassuolo thanks to an Alejandro Gomez strike, while 10-man Pescara still got the better of Carpi with an Elvis Abbruscato header.
Torino played out a six-goal thriller to eliminate recently-relegated Lecce 4-2, though Cagliari needed a stoppage-time Joaquin Larrivey effort to get them through.
Palermo 3-1 Cremonese
Scorers: Miccoli pen 24, 33 (P), Le Noci pen 25 (C), Ilicic 73 (P)
Genoa 1-1 Verona (aet)
Scorers: Jankovic 32 (G), Bjelanovic 65 (V)
Verona win on penalties
Bologna 2-1 Varese
Scorers: Taider 48, 70 (B), Momente’ 82 (V)
Livorno 4-1 Perugia
Scorers: Clemente pen 44 (P), Siligardi 55, 56 (L), Dionisi 67, 92 (L)
Atalanta 2-0 Padova
Scorers: Bonaventura 23 (A), Brivio 29 (A)
Cesena 3-2 Crotone
Scorers: Succi 16 (Ce), Iori og 40 (Cr), Ciano 43 (Cr), Graffiedi 50 (Ce), D’Alessandro 84 (Ce)
Fiorentina 2-0 Novara
Scorers: Ljajic 43 (F), Pasqual 54 (F)
Juve Stabia 1-1 Sampdoria (aet)
Scorers: Maxi Lopez 82 (S), Danilevicius 91 (J)
Juve Stabia win on penalties
Torino 4-2 Lecce
Scorers: Sgrigna 2 (T), Ferrario og 14 (T), Jeda 40 (L), Bianchi 66, 75 (T), Corvia pen 73 (L)
Catania 1-0 Sassuolo
Scorers: Gomez 72 (C)
Cittadella 1-0 Ternana
Scorers: Di Roberto 94 (C)
Chievo 4-0 Ascoli
Scorers: Thereau 5, 27 (C), Pellissier 10 (C), Di Michele 52 (C)
Modena 1-5 Reggina (aet)
Scorers: Comi 13 (R), Ardemagni 71 (M), Barilla’ 93 (R), Fischnaller 96 (R), Viola 98, 116 (R)
Cagliari 2-1 Spezia
Scorers: Pinilla 23 (C), Di Gennaro pen 68 (S), Larrivey 92 (C)
Pescara 1-0 Carpi
Scorers: Abbruscato 38 (P)
Sent off: De Bode 60 (P)
Siena - Vicenza
To be played on Sunday