Apartment for two Erasmus students

Hello everyone! We are two students of the Academy of Fine Arts in Rome who will come to Leipzig for the Erasmus experience from mid-March to early July. We are looking for a two-room apartment with a rent of maximum €600 per month - including additional expenses. The apartment should be located in the central area of Leipzig, or in the zentrum-süd area (specifically near Wächterstraße), or in an area where it's easy to get the centre by public transport even at night. Certainly the apartment we are looking for should be furnished or partially furnished.
Thanks to all those who can help us!

Eva Maria and Gabriele