Immobile was initially the villain when he conceded a penalty for handball in the fifth minute and Torino captain Andrea Belotti put the hosts in front.
Yet Immobile made amends two minutes into the second half when he equalised with a clinical finish from Luis Alberto's pass for his 29th league goal of the season.
"The team showed a spirit of sacrifice, especially the attackers," said Lazio assistant coach Massimiliano Farris, standing in for Simone Inzaghi who was suspended after being sent off in their previous game.
"We built well throughout the game and our quality came through. We've overturned two hazardous games which weren't easy. The lads are up for it, especially from a mental point of view."
The only sour note for Lazio was a yellow card for Immobile, who will miss their next game against AC Milan to end his ever-present record.
Earlier, Immobile wasted a chance to level in the 22nd minute when he fired over from Sergej Milinkovic-Savic's pass as Lazio, missing coach Simone Inzaghi through suspension, penned Torino back in their own half.
Lazio defender Francesco Acerbi had a goal chalked out for offside just before half-time but the visitors finally broke through two minutes into the second half when Immobile equalised.
Lazio kept pressing relentlessly and were rewarded in the 73rd minute. Milinkovic-Savic saw a shot blocked by goalkeeper Salvatore Sirigu but Torino failed to clear the ball properly and it fell to Parolo who scored with a deflected shot.