Antonio Conte's team are a point behind reigning champions Inter, who narrowly beat Genoa, due to Assane Diao's drilled winner in the 77th minute for Como.
Inter visit Napoli next in a match which could well be crucial to the destination of the Scudetto.
Napoli shot themselves in the foot in the seventh minute when Amir Rrahmani passed the ball into his own net, but looked to be on the way to a win when Giacomo Raspadori slotted home the leveller 10 minutes later. In second half Como dominated the pitch.
Then Assane Diao's third goal in as many games decided an entertaining match at Como's lakeside Stadio Giuseppe Sinigaglia and put Cesc Fabregas' team seven points above the relegation zone in 13th place.
Backed by tobacco giant Djarum, ambitious Como have Serie A's richest owners and spent heavily in the winter transfer window.