Imagine you go on holiday. How would you present yourself to a foreigner?
Hello! I'am Dana. It is nice to meet you! (I would say," Can you help me find the bus or train station, a restaurant with good food, the museum of art) etc.
Thanks very much....! Greetings!
Greetings to you too, thanks for asking me to correct for you.
Nicely thank me...!
Hello! I am Dana. It is nice to meet you! / Nice to meet you !
to which I would reply : Nice to meet you too