Phrases Phrases for Making Reservations

Can I make a reservation?

Meaning

Is it possible to book a table or room?

John: Hello, I'd like to eat at your restaurant tonight.
Alice: Certainly, sir. <b>Can I make a reservation</b> for you?
John: Yes, please, for two people at 8 pm.
Alice: Let me check... Yes, we have a table available. <b>Can I make a reservation</b> under your name?