There is a PUMA store in Tajrish at the beginning of Pahlavi st. It used to be Agziyeh Parsian.
There is also an official Adidas shop further up the same street. They were constructinig it when I was alst there 3 months ago.
For the Isfahani users: the best shop is Daie's shop in khaghani st. They sell jerseys that are 100 percent identical to the real ones for ten tomans. Every time i go i buy like ten jerseys.