Salisbury came from behind against Chester to extend their winning run to three matches as both sides finished with 10 men.
Joe Heath nodded the visitors ahead before Dan Fitchett replied with a header of his own from six yards.
Elliott Frear slotted the hosts in front before Clovis Kamdjo completed the comeback with a powerful header.
Angus MacDonald and Chester substitute Shaquille McDonald were then sent off for violent conduct in injury time.
McDonald was making his debut for the visitors, having completed a loan move from Peterborough less than 24 hours earlier.