I'm sorry I forgot to answer your message ErasmusWasHere!
So just so that you know, I eventually got an offer from LSE too. In total I applied to 7 schools: LSE, HEC Paris, Rotterdam Erasmus School, IE (Madrid), MIT: Sloan, Boston Carroll and Oxford Said.
I received offers from HEC Paris, LSE (for the Finance program), Rotterdam and IE. I also got an interview online from Boston Carroll but I never did the actual interview so I don't know whether I'd have got the final offer. However, I got almost immediately refused by Oxford and MIT.
Regarding my profile, here is a quick snapshot of my "achievements":
I got 730 at the GMAT but my quantitative part was a bit disappointing (68th percentile) whereas I got an outstanding verbal part (96th percentile) which gave me such a high overall score. I did not have to pass the TOELF because I studied my Bachelor in English so I can't help you there
I am studying at Maastricht University (the school of business and economics, fairly recognized internationally) and I have a GPA of 8.5/10. Moreover I've got several experiences such as a gap year in Peru, a semester abroad in Brazil, two internships (accounting & commercial banking) and a work experience as a tutor of math/stat (employed by my own university as "proof of excellence"). I'm fluent in Spanish, French, English and soon in Portuguese + I have basics in Dutch.
I hope this helps you
Feel free to ask more questions