ESPN's Transfer Talk column reports that both London rivals are competing to sign the Bundesliga club's attacking midfielder.
A report from BBC Sport sets out the main available details, with claims kept attributed to their sources.
Once a Premier League title challenger with Arsenal and an England international, Aaron Ramsdale is now Southampton's fourth-choice goalkeeper.
Chelsea edged Arsenal in a tightly contested Women's Super League derby at Stamford Bridge, continuing their strong start to the season.
Arsenal are already playing catch-up in the Women's Super League title race after struggling to find the net, according to BBC Sport.
Two Premier League rivals are said to be increasing their pursuit of the Brentford forward as clubs across Europe also chase centre-backs.
After the opening round of the Women's Champions League league phase, questions remain over a contentious Manchester City goal and Arsenal's finishing woes.
The 44-year-old manager has agreed terms to remain in charge, with an announcement expected soon, according to ESPN sources.
Disney+ said an advertising break that interrupted coverage of Arsenal's Women's Champions League opener was not planned, amid a broadcast that also featured a dog, a vegetable platter and a rotating floor.
Coverage of Arsenal's Women's Champions League opener also featured a dog on set, a vegetable platter and a rotating floor.
An apparently unintended break interrupted coverage of Arsenal's opening Women's Champions League fixture for several minutes.
A report from ESPN sets out the main available details, with claims kept attributed to their sources.
The Brazilian striker could be the subject of a bid from the Premier League champions, according to ESPN.
Manchester City and Liverpool are also said to be eyeing Real Sociedad defender Jon Aramburu, according to ESPN.
The Premier League club is said to be considering the versatile attacker as a potential reinforcement, according to ESPN.
Jose Mourinho focused on officiating after Real Madrid's derby defeat to Atletico Madrid, while Arsenal must respond to a heavy loss at Brighton, ESPN reports.
ESPN recapped Wednesday's opening league-phase matches across Europe.
Manager Enzo Maresca's side head into the international break in high spirits following what BBC Sport described as a perfect 24 hours.
A weekly ESPN column examines whether recent Premier League talking points—including a narrowing title race and VAR controversies—hold up to scrutiny.
Smilla Holmberg's stoppage-time goal denied Manchester United a maiden victory for new manager Eva Olid in the Women's Super League.