To introduce your friend to someone, you need to make sure that you give a little bit of information to each person about the other.
For example
Oh Mr. Smith, I'm glad you're here. I would like you to meet Ms. Jones. She's an investment banker with Bank of America. Ms. Jones, this is Mr. Smith, he is an executive chef in Paris!
To start the conversation
"Hello, I'm _________ ; it's a pleasure to meet you, Ms. Jones"
"
How do you do? My name is __________."
glad to meet you - a polite expression said to a person to whom one has just been introduced.
Example 1
Mary : I'd like you to meet my brother, Tom.
Bill : I'm very glad to meet you, Tom.
Example 2
Jane: Hi! I'm Jane.
Bob: Glad to meet you. I'm Bob.
pleased to meet you - an expression said when introduced to someone.
Example 1
Tom : I'm Tom Thomas.
Bill : Pleased to meet you. I'm Bill Franklin.
Example 2
John : Have you met Sally Hill?
Bill : I don't believe I've had the pleasure. I'm pleased to meet you, Sally.
Sally : My pleasure, Bill.
nice to meet you - an expression said just after being introduced to someone.
Example 1
Tom : Sue, this is my sister, Mary.
Sue : It's nice to meet you, Mary.
Mary : How are you, Sue?
Example 2
Bob : I'm Bob. Nice to see you here.
Jane : Nice to meet you, Bob.
Good-bye for now or (Good-bye) until next time, Till next time, Bye for now, Till we meet again, Until we meet again, I'll see you soon, I'll see you next time.
Example 1
Alice : See you later. Good-bye for now.
John : Bye, Alice.