So most SA's have done their technical training and have joined their desks last weeks.
Most banks have a program for interns to meet seniors to know more about the culture and different teams. Make use of this as it gives you the opportunity to meet seniors who you otherwise will never speak. It is also a good excuse to be away from your desk for 30 min (though it should not interfere too much with your work).
Having passed the technical training does not mean you have passed the social training. I have mentioned it before, but your internship is a 10 week long first date. You need to show you have all the qualities the bank/team wants. This includes social skills.
So when you meet with the D/MD's be on time, wear a tie and have questions ready. Ask the analysts and associates for who are good D/MD's to meet and what questions you could ask them (as a backup in case the conversation runs a bit dry). But also DON'T E-MAIL THE CEO OR CHAIRMAN. I remember my VP telling me that I shouldn't do this and I thought he was joking, but unfortunately he was not. One month later I saw a fellow intern e-mail our CEO and Chairmen for a coffee (their PA's thanked them and said they were too busy). An intern has set a new record this year by e-mailing during his second week. E-mailing these people show you don't understand how the dynamics in a big organization work. How can the team be sure you won't e-mail the client CEO/CFO for some random information? I know this is especially a problem for kids from the UK, who are 18-19 years old when they intern and miss some life lessons. So hereby I teach those life lessons.
"Nothing to lose, only to gain", "Have no, can get a yes" are reasons I have heard. Well, only thing you can lose is your FT offer by showing a lack of social awareness...