Genoa hit the woodwork twice and had the better of the game overall, but it was Torino who snatched the points with a Bremer header.
Thiago Motta added Lukas Lerager and Cristian Zapata to long-term absentee Christian Kouame. Toro missed Andrea Belotti, Iago Falque and Lyanco, but still dropped Simone Zaza to use Sasa Lukic as an unusual False 9.
Both teams were in poor form, the Grifone managing two points in four rounds, while Toro had one win in the last eight.
Lorenzo De Silvestri nodded a corner wide, while Cristian Romero only grazed his head to a set play at the other end.
The first real chance came on 29 minutes, as Armando Izzo combined with Tomas Rincon to whip in a cross from the right, but Paolo Ghiglione did just about enough to put Cristian Ansaldi off and he came sliding in at the back post to turn wide.
Genoa had more possession, with Stefano Sturaro’s curler deflected past the far post after turning defenders, but lost Ghiglione to injury at half-time.
Ansaldi blasted off target from a promising position straight after the restart, while Goran Pandev got the ball stuck under his feet on a Kevin Agudelo pull-back.
Agudelo took matters into his own hands on 55 minutes, his left-foot strike bouncing off the crossbar, then under two minutes later his teammate Andrea Favilli drilled a low effort that thumped the base of the upright.
Francesco Cassata stung Salvatore Sirigu’s gloves on another good pass from Agudelo, but it was Torino who took the surprise lead with a goal out of nowhere.
Simone Verdi’s in-swinging corner found the towering header of defender Bremer from six yards to leave Ionut Radu stranded. It was the Brazilian’s first Serie A goal.
Genoa continued to have more of the ball, but created very little genuine danger for Sirigu. However, Simone Edera did manage to somehow get two yellow cards in just seven minutes on the pitch as a substitute.
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Sent off: Edera 94 (T)