Politano scored in the 22nd minute and Sassuolo led for most of the match before an own goal from Rogerio rescued a point for Napoli.
All 10 matches are being played on Saturday because of Easter.
Napoli was desperate to sign Politano in the January transfer window but failed to get the paperwork completed in time.
Consigli pulled off another great save in the 80th to deny Piotr Zielinski but could do nothing seconds later when Mario Rui’s cross came off Rogerio’s knee as he tried to shield it from Jose Callejon.
Napoli threw everyone forward and Milik hit the crossbar with an overhead kick.
Immobile leads with 26 goals, two more than Icardi.
Icardi scored four in Inter’s 5-0 win at Sampdoria before the international break and he resumed where he left off, firing his side in front after just 38 seconds and doubling his tally early in the second half.
Ivan Perisic set up both of Icardi’s goals and scored Inter’s second.
Verona goalkeeper Nicolas was sent off in the final minute for bringing down Eder.
Inter, which faces AC Milan in the derby on Wednesday, remained in fourth spot. It leads Lazio by one point after the capital side survived a scare when bottom side Benevento took a 2-1 lead in the second half despite playing from the seventh minute with 10 men after goalkeeper Christian Puggioni was sent off for handling the ball outside his area.
Midfielder Radja Nainggolan limped off after just 16 minutes, and is a serious doubt to face Barcelona in the first leg of the Champions League quarterfinals on Wednesday.
Chievo Verona moved four points clear after beating Sampdoria 2-1.
Torino won at Cagliari 4-0, and Atalanta beat Udinese 2-0.
Source: Fox Sports