A great catch by Di Venuto, which he held on to with a second attempt, saw Steven Croft out to Blackwell on 38, leaving Lancashire 191-5 in the 61st over.
A four off the short boundary by Smith saw Lancashire claim their first batting point and the visitors were 201-5 at tea.
Durham claimed their second bowling bonus point when Steven Cross was stumped off Blackwell for 15 in the third over after the break.
A change in the bowling attack saw Scott Borthwick come on at the Lumley End for the 74th over, bringing immediate results after Tom Smith (32) was trapped lbw by the third delivery and Lancashire were 225-7.
Mitchell Claydon got in on the act before the close, picking up the wicket of Glenn Chapple, who cut to Scott Borthwick at third man, four short of his fifty.
He struck again with three overs to go when Procter was caught behind on 45 and Blackwell finished the visitors off, bowling Kyle Hogg (1) with Lancashire posting a first innings total of 313.
Durham will start tomorrow with Michael Di Venuto and Will Smith at the crease.