Napoli moved on to 19 points, three ahead of Juventus in second with Inter Milan third on 14 before they play AS Roma later on Sunday. Empoli are 11th with 10 points.
Empoli proves stubborn opponents for Napoli side
Kvaratskhelia tucked away the spot-kick in the 63rd minute, Napoli’s only shot on target over the 90 minutes and the first goal Empoli have conceded at home in the league this season.
Empoli were left to rue missed chances in the first half when they were by far the better side, and Antonio Conte’s Napoli came away with a scarcely deserved three points.
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As Napoli laboured under the Tuscan sun, Empoli, who had played out three scoreless home draws in a row, went on the offensive.
But the home side were unable to find a way past Napoli goalkeeper Elia Caprile, who pulled off three saves from Sebastiano Esposito in the opening half.
Empoli, who had only conceded four goals in their previous seven matches, proved stubborn opponents for a Napoli side which never really got going, until a foul by Faustino Anjorin on Matteo Politano gave them a lifeline.
Kvaratskhelia stepped up, and with the keeper Devis Vasquez committed to his right, the Georgian rolled his penalty low down the middle to break the deadlock.
Empoli’s energy faded after conceding and they offered little in the way of a fightback. Napoli are now unbeaten in seven league matches since their opening day loss at Hellas Verona.