England finished the day on 315 for six wickets in reply to the Sri Lanka side's 500 for five declared.
Cook enjoyed a partnership of 77 with captain Michael Vaughan [ Images ], who hit 38 before being trapped lbw by leg spinner Malinga Bandara.
The only batsman to fail on a docile pitch was Kevin Pietersen [ Images ] who was caught in the gully for four off seamer Nuwan Kulasekera.
Cook, Ian Bell [ Images ] (49), Paul Collingwood [ Images ] (52) and Owais Shah [ Images ] (38) all retired while Ravi Bopara [ Images ] made 40 not out.
England have one more practice game before the first Test starts on December 1 in Kandy.
(Editing by Alison Wildey)

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