Chances to get into fixed-income trading as a foreign student from a non-target

Hey everyone,

I'm a CS student at the University of Strasbourg who wants to get into finance, I've applied to a lot of places and I even got a first-round interview at a BB in Paris, but still no luck. I see that most serious finance roles in France are given to people who went to a Business school with either the PGE programme or MSc Finance in HEC, ESCP, ESSEC, EMLyon and whatever.

This made me think that the logical next step for me would be to either find an internship that leads to a full-time role before I graduate, or do the masters.

I'd like to know my chances of getting into one of the big business schools in France. My GPA is nothing out of this world, around 12.33/20 in French terms and 3.2 in American terms. I have the BMC certificate and some other stuff related to finance. I am fluent in english, french, spanish and german. I am also currently preparing for the GMAT in order to apply to EMlyon, I talked with someone from ESCP but he told me that in order to be accepted I'd have to have a finance-related internship first (VC, HF, IB, S&T, or PE) and that I could also do another master to improve my chances of getting in, so no. 

I've been trying to network in Strasbourg, Luxembourg, and Stuttgart, but how realistic are my chances of getting into a target master in finance in France ?