England set Sri Lanka 390 to win first Test
England batsman Gary Ballance (R) sets off for a run watched by Sri Lanka wicketkeeper Prasanna Jayawardene (L) and teammate Mahela Jayawardene (C) on the fourth day of the first Test at Lord's cricket ground in London on June 15, 2014 - by Ian Kington
Before play resumed, England captain Alastair Cook declared his side's second innings on their overnight score of 267 for eight.
Gary Ballance remained on 104 not out -- his maiden Test century.
If Sri Lanka reach their target, it will be the fifth-highest total in the fourth innings to win a Test.
The corresponding Lord's record is the 344 for one, requiring 342, made by the West Indies against England in 1984.
This is the first of a two-match series, with the second Test between England and Sri Lanka starting at Headingley on Friday.