The American teenager, 19, has inspired in the Bundesliga at Dortmund.
And Arsenal at the moment are checking the type of the winger, in step with Transfermarketweb.
Liverpool have held a protracted hobby in Pulisic with Jurgen Klopp a large fan.
Pulisic has scored two times this season in six Bundesliga appearances.
He got here off the bench the day gone by in the Three-1 defeat to Real Madrid in the Champions League.
Arsenal broke their switch report this summer season after they signed Alexandre Lacazette from Lyon and attempted to signal Thomas Lemar from Monaco for £92m.
They shipped Alex Oxlade-Chamberlain out and Alexis Sanchez and Mesut Ozil glance set to go away this summer season, which means they are going to be wanting vast choices.
Pulisic can play vast on all sides or via the heart and already has 18 USA caps having damaged into the workforce in 2016.
He is below contract at Dortmund till 2020.
Real Madrid also are mentioned to be willing and this week Brian McBride informed him to seem upper than Liverpool.
“No disrespect to Liverpool, but he probably has his sights set even higher,” McBride mentioned to ESPN.
“I’ve heard that [Barcelona or Real Madrid] is a part of the plan.
“That’s no longer coming at once from him; that’s coming from other folks.”