LIVERPOOL, England -- Alexis Mac Allister scored the winning goal as Liverpool 's revival continued with a 1-0 victory over Real Madrid in the UEFA Champions League .

Liverpool thought they had won a penalty in the first half when referee Istvan Kovacs judged Aurélien Tchouaméni to have handled the ball, but VAR ruled the midfielder's arms were in a natural position.

Jude Bellingham saw his near-post effort saved by Liverpool goalkeeper Giorgi Mamardashvili on the stroke of halftime, while Thibaut Courtois made impressive first-half stops to deny both Dominik Szoboszlai and Mac Allister. Courtois made another stunning stop to keep out Virgil van Dijk early in the second half; however, the Belgium international was finally beaten when Mac Allister nodded home Szobos

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