tau mai - came
I tau mai te waka ki uta, me te karanga atu a te iwi e tatari ana.The canoe came to shore while the people who were waiting called out.Towards - mai
Te pai te kite i a koutou, kua tau mai ki tēnei wā, ki tēnei ahiahi.It is good to see you all, having arrived at this time, this afternoon.