INALCO (Institut national des langues et civilisations orientales) is a university based in the 13th arrondissement – near BNF – where 93 world languages are taught.
Cultural events are also organized at INALCO, for instance in 2015, A all day about South Asia and Himalaya.
It is not too far from Telecom ParisTech, so you may try to find a tandem partner at INALCO.
Here is a list of INALCO students’ associations.