There are little cafes all over the place and one of the great things about having a familiar app like Zomato in the region means it is easier to see what is around rather than the other method of Google searches and review articles. Mosqueto had a good rating, nice staff and a pleasant looking setup.
I was only there after a search for coffee saw their machine through the window. The takeaway latte was very bitter and strong (did not seem burnt) and too much for the Melbourne tastes. They did give quite a bit of sugar and biscuits with it, so perhaps that's how it is taken locally.
If ever in the area, I'd go back for a meal and another drink or dessert (their cheesecake in the case looks tempting) and just watch people scurry past from out of the Bellas Artes metro.