In your sentence:
Tengo una reserva bajo el nombre del Sr. Saville?
The reason "del" is used is because "el nombre" is directly followed by "del Sr. Saville". It's like a little phrase, and the "del" creates a smoother flow.
It would be grammatically correct to say:
Tengo una reserva bajo el nombre de Sr. Saville?
But, it's not as elegant. "Del" makes the sentence sound more natural and flowing.
Here's a simple rule of thumb:
- If "el" is directly followed by a noun, it's usually better to use "del."
- If "el" is followed by an adjective or another word that doesn't directly modify a noun, then you can use "de + el" or just "de."
Let me know if you have any more questions!