Marco Brescianini tapped home into an open goal with two minutes remaining to snatch a point from the Stadio Olimpico in Rome, where a passionate crowd thought a big win was coming their way.
Inter's skipper had not scored for his club since Nov. 3 in a 1-0 win over Venezia.
"It's been a wonderful year, we're sorry it's ending, let's hope that 2025 will be just as good," Gasperini told DAZN.
Frank Anguissa and Amir Rrahmani scored Napoli's goals in an eight-minute spell in the first half before Andrea Pinamonti cut the deficit early in the second period.
Reigning champions Inter came through what was supposed to be a tough test at the Stadio Olimpico with flying colours and are three points off the Scudetto pace with a game in hand.
Substitute Zaniolo decided a hard-fought encounter in Sardinia by stroking home Raoul Bellanova's cut-back in the 66th minute and moving Atalanta five points clear.
Edoardo Bove has had a defibrillator fitted after the Fiorentina midfielder's on-pitch cardiac arrest earlier this month, according to widespread Italian media reports on Tuesday.
Fiorentina earlier remained on Napoli's heels after their 1-0 home win over Cagliari in their first league match since midfielder Edoardo Bove's sudden collapse last weekend.
Edoardo Bove is conscious and alert in hospital after his sudden collapse which caused Fiorentina's match with Inter Milan to be called off, the Serie A club said on Monday.
"It's too early to talk about the title. All we can do is look out for how we develop as a team, work to improve and win every match we play. But now is not the moment to talk about the title," said Lukaku.
Juventus remain the only unbeaten side in Serie A but their seventh draw of the season means they remain sixth in the standings and are now three points behind leaders Inter Milan. Milan stay seventh, six points behind Juve, though they have played one game fewer.
Simone Inzaghi's side are provisionally ahead of Napoli after netting all five of their goals in the opening 45 minutes at the Stadio Bentegodi through a Marcus Thuram brace and further strikes from Joaquin Correa, Stefan de Vrij and Yann Bisseck.
Claudio Ranieri took charge of his hometown team Roma on Thursday, coming out of retirement to become the Serie A club's third coach of a troubled season.
Napoli coach Antonio Conte criticised the Video Assistant Referee (VAR) for not intervening to reverse a penalty that Inter Milan's Hakan Calhanoglu eventually missed in their 1-1 draw on Sunday.
The victory, provisionally, leaves Juventus level on points with champions Inter Milan in second and one behind league leaders Napoli.
Inter are now in second place in the table with 24 points, one behind leaders Napoli, while Venezia are 18th.
Forward Ademola Lookman scored twice inside the first half to help Atalanta to an emphatic 3-0 win at Serie A leaders Napoli on Sunday as the visitors moved second in the standings.
The record 36-time champions trail second-placed Inter Milan on goal difference after Maduka Okoye's own goal and Nicola Savona's effort.
Antonio Conte's resurgent side wrapped the match up inside the first half, courtesy of an early Romelu Lukaku goal and a sensational strike by Khvicha Kvaratskhelia.