The prestige of your undergrad institution is going to be noticed.  Some schools weight it more heavily than others.  However, if you are trying to show that you belong at a top 10 institution, I think you would want to show that you easily outclass your peers at your current institution.  I come from a nowhere state school that is absolutely unheard of, but I got a near 4.0 gpa, good test scores, and publications and now I have fellowship offers from top 5 universities.  If you are really aiming for the top, I think you need to have an excellent application all around.  A gpa of 3.7 look OK at a top program, but less and less OK at less prestigious programs.