Good listening and speaking skills are needed to have a conversation.
A conversation rule is: Do not speak when someone else is speaking. Listen and wait till the other person has finished speaking.
If you have to interrupt like you have to rush to get to another commitment say:
"Excuse me for interrupting but I have to go. I will talk to you later."
What are some ways of introducing yourself?
"Hi, my name is … and your name is?"
"I am pleased to meet you."
"Do you often come here?"