Apply for internship/graduate?

Hi everyone. I am kind of lost so I'm writing this thread to see whether you guys can help me. I'm graduating next year and I am currently doing my internship at a regional boutique bank. The question is: Should I apply for internships and get into a MSc afterwards to increase my chances of landing a job in London? Do the employers still consider final-year students for internships?

I feel like applying right away for the graduate scheme could be not a wise option since I couldn't get an internship in the first place and I don't know how valuable an internship in a regional boutique bank is for them.

Thanks in advance.