Liverpool remain joint leaders in Group D of European football's champions' league after a 3-1 home win over PSV Eindhoven.
The 2006 winners Barcelona needed two late goals, one in stoppage time, from substitute Lionel Messi to secure a 2-1 victory at Shakhtar Donetsk.
But last season's runners-up Chelsea were held to a surprise draw at CFR Cluj, who were playing in Romania's third division just six years ago.
That leaves Chelsea and Cluj level on four points in Group A, one ahead of third-placed AS Roma after the Italians won at Bordeaux.
In Group B Inter Milan drew at home with Werder Bremen while Anorthosis Famagusta kept up their dream debut with a home win over Panathinaikos.
And Atletico Madrid beat Olympique Marseille to maintain their perfect start in Group D.