Celtic beat reigning champions AC Milan 2-1 in Wednesday night’s Champions League match to complete a Glasgow double, while Chelsea won at Valencia.
Aussie striker Scott McDonald scored in the last minute to earn Celtic a win at Parkhead to add to city rivals Rangers’ emphatic 3-0 win against Lyon on Tuesday.
On a poor night for last season’s finalists, Liverpool were upstaged 1-0 by Marseille at Anfield.
Celtic won the match when McDonald tapped in a rebound after Gary Caldwell's shot was pushed away by Dida.
Stephan McManus had given Celtic the lead in the 62nd minute at Celtic Park, chesting a swinging corner kick, but Kaka
equalized in the 68th from the penalty spot.
Marseille became the first French team to win at Anfield, giving new coach Erik Gerets a perfect start at the club.
Mohamed Sissoko lost possession for the Reds, allowing Valbuena to score from the edge of the penalty area. Goalkeeper Pepe Reina could do little to stop the ball from dropping into the net off the inside of the crossbar.
Chelsea produced their best football ever since Avram Grant took over from Jose Mourinho two weeks ago with a 2-1 come-from-behind win at Valencia to throw the Champions League Group B wide open.
Celtic captain Stephen McManus gave the home side the lead in the 63rd minute but five minutes later referee Markus Merk adjudged Lee Naylor to have grappled too enthusiastically with Milan skipper Massimo Ambrosini inside the penalty area and Kaka stroked home the spot-kick.
Valencia’s David Villa opened the scoring after just nine minutes but an own goal midway through the first half by Emiliamo Moretti and a second half strike by the prolific Didier Drogba gave Chelsea a memorable win.
In the 71st, Cole's pass found Drogba, who ran on to beat goalkeeper Timo Hildebrand. Chelsea leads Group B with four points, with Valencia and Schalke with three and Rosenborg with one.
Liverpool lost to Marseille 1-0 at Anfield after a 77th-minute goal from Mathieu Valbuena.
In other matches, Goran Pandev scored twice to earn Lazio a 2-2 draw with Real Madrid, FC Porto beat Besiktas 1-0, Schalke defeated Rosenborg 2-0, Olympiakos rallied to win 3-1 at Werder Bremen and Shakhtar Donetsk beat Benfica by a solitary goal.