Liverpool were trailing 1-0 at Anfield after the visitors took the lead in the first half through Dan Ndoye.
Then Isak equalised in the 60th minute after Cody Gakpo's cross from the right wing, which the Swede was able to tap in at the far post after a run. The 1-1 goal was Isak's first of the season, after he was held scoreless in the league opener against his former team Newcastle.
Ten minutes later, Nottingham Forest were awarded a penalty which Morgan Gibbs-White converted to make it 2-1. But Liverpool managed to equalise again when Víctor Muñoz, a new signing this season, scored his first competitive goal for the club.
2-2 was the final score in Liverpool's home opener, just like in the away opener against Newcastle.
