The Hoops arrived in Rome at the summit of Group E after beating the Italian side last month but amid a shaky start they fell behind in the seventh minute when striker Ciro Immobile volleyed in a cross from Manuel Lazzari.
Arsenal can make sure of progress to the knockout stage when they next host the German side on November 28.
Celtic won 2-1 on the night which left Celtic fans on cloud nine, there was no doubt celebrations in the city after the game and it's perhaps when Lazio thugs have chosen to come out again.
The 24-year-old fired home a magnificent free-kick in the 33rd minute and completed his treble midway through the second half after Dabbur had made it four before the break.
"It is an unbelievable night, not just for me, the players, the board and obviously the magnificent support we had in the stadium tonight".
"It shows what a good quality team we are as well".
Off the pitch, there were sadly more incidents, with another Celtic fan stabbed on Thursday after the game, and it's clear everyone on this side of the Channel will be glad these matchups are over, so maybe it's time for certain Lazio ultras to put their hands down and use them to pray for their team's qualification out of Group E.
Lazio created a plethora of chances throughout the game to seal the points, but Parolo admits that they just did not convert the opportunities that Celtic allowed them to have.
Celtic's goalkeeper Fraser Forster makes a save late on. Players like Ryan Christie, Odsonne Edouard and Mohamed Elyounoussi are flourishing on the European stage, and in charge of them we have a manager who clearly knows what he needs to do to get a tune out of his players.
APOEL Nicosia defeated Qarabag 2-1 in the other Group A game to go second and level on points with the side they beat on the night to leave it finely poised for second spot.