Thing is, its not that difficult to read a masters programme. Because masters is not as competitive as bachelor's. Those with a good bachelor's go straight to work because they can hit a good pay. No doubt that an FCH UOL will be able to take a masters at LSE. But I doubt you will get sponsored for it. There is literally no scholarships for masters programs. Not even here locally. Masters students are usually working adults, hence they should not require a scholarship. On top of that, masters students dont add value to the university. Unlike Phd students, which are sponsored and given stipends and lodging. Phd students conduct research etc. Masters students are like older undergrads.