I am not aware of any Starbucks in the area, but would you know of some kind of similar place where I can relax with a nice mug of coffee and free wifi?
Hi, try Exki - a chain of coffee shops that also do nice lunches for takeaway or to eat in (soups, salads, sandwiches).
All branches have free wi-fi and there is one in the city centre, one near the Gare and one in Kirchberg. If you go before 11am you can usually get a coffee for €1.50.
Golden Bean in the centre has nice coffee and free wifi