Arsenal took an early lead in the game after a beautiful finish by Beth Mead.
Chelsea's equaliser came in the 13th minute, an attack that started in their own half and where superstar Sam Kerr received the ball at the halfway line and passed on to an onrushing Rytting Kaneryd.
The Swedish right winger first made a move and then placed the ball between the legs of Arsenal defender Steph Catley.
But Arsenal also have Swedish stars who can score goals.
Center back Amanda Ilestedt, known for being lethal with her head on set pieces, reached the top of a corner and nodded in 2-1.
Before half-time, English star Alessia Russo extended the lead to 3-1 to Arsenal.
The team's other players, Stina Blackstenius of Arsenal and Zecira Musovic of Chelsea, have started on the bench. Lina Hurtig (Arsenal) is missing due to injury.
The match is ongoing, the article is being updated.