You can go to every Mass you possibly can in one day, including the Vigil Mass and another Mass on Sunday, BUT you can only receive Communion a maximum of two times. I makes absolutely no sense to receive more than once in a day; however, for some reason people can now receive more than once. (Before Pope St. Pius X, I think it was, laymen were permitted to receive only on Sunday, of course, only one time.) It makes no sense, however, to go to a Vigil Mass if you are going to be going to a Sunday Mass. They invented the Vigil Mass so that people who have more important things to do on Sunday and cop out and go Saturday night. God bless.
By the way, since this invention does constitute for Sunday Mass, one can receive only one more time on Sunday if he does so Saturday night. Also, though, I suppose that if one received at both morning Masses Saturday, he could again receive at the Vigil. As I said, though, it makes no sense and decreases devotion greatly for the Blessed Sacrament to receive more than one time during the day… maybe the next canon law will allow us to receive three times, just as we do at the three meals with common bread?