Salisbury, 36, has already been granted a benefit for what will be his 10th season since moving from Sussex.
Salisbury took 59 wickets at an average of 28.16 and said: "It was nice to be back in the wickets again after spending much of 2004 and 2005 on the sideline through injury."
Surrey, is also expected to agree a deal with spinner Chris Schofield. Schofield, joined the club for the last month of the season after a spell in minor counties cricket.
He took eight wickets in two first-class games and hit a useful 95 against Gloucestershire.
Di Venuto to represent Durham: Di Venuto, who has made 16,745 first-class runs at an average 43.04, left Derbyshire acrimoniously last month, after eight years there.
"There is so much young talent at the club and I'm pleased to have the opportunity to work with them," Venuto said.
Former Notts batsman Will Smith and Yorkshire seamer Mitchell Claydon have also agreed deals at the Riverside. And all-rounder Will Gidman, brother of Gloucestershire star Alex, is the third youngster to have signed on for two years.
Durham coach Martyn Moxon stressed that the decision on a single official overseas player would be open to review during the season.
The decision means opener Jimmy Maher and seamer Mick Lewis, both Australians, will not be returning.
But Durham also have two foreign players who sidestep the official designation under European Union laws, captain Dale Benkenstein and spinner Gareth Breese.
"The decision to go for one overseas player at the start of the season is primarily made to give our young talent the opportunity they have earned," said Moxon.