Willjmark, I did interview at that same day! But with 30 or more people, I don't know if we met. I was with the loudest group (we talked about certain interview experiences and it just so happens that ours, including mine subjected everyone to laughter). Anyway, don't give up hope, people can get acceptances right off the no-decision letter. Tufts accepts about 50% from the people they interview and that's a good statistic compared to other schools. Aside from the letter, it might be good to call Tom Slavin, after all he made it clear that he's available for questions. And if you remembered the orientation before interview sessions, one of the directors of certain dual degree programs (whose name escapes me at the moment) did say something about people who might get interested in such later on so maybe you can "inquire" about these programs and get noticed. Also, have you received their financial packet (given to all interviewees)? If you haven't, you can ask about that also and get it done. It might have influence on your application. I did mine the moment I got it and I also wrote letters of inquiry.
I agree that showing interest is important, since my feeling is that interviews don't matter much (at least, most of us attested to the relatively quick interviews Tufts conducts).