How to chat people up in Spanish:
The chat people up in Spanish is to "ligar"

The most common way of doing this is to "hacer piropos" (make flattering comments)
and also to "flirtear" or "coquetear" (flirt)

As I am married I don't ever flirt so I had to look on internet for examples.
I visited about 25 web pages to find "frases para ligar" (chat up lines)
I was quite surprised to find the same 30 or so cheesy chat up lines on almost all of the sites.
They must have all copied each other.
I have included some of the less annoying ones which are more or less at the level of this course.

I have included some flattering comments and a few sentences to "romper el hielo" ( break the ice)

I don't think you will end up with a new Spanish boy or girlfriend using my lesson but at least you may find it amusing.

Some of the examples are a bit higher than level of this course.

In the examples you will see "Me gustas" which means I like you.
The verb gustar is a bit strange for a English speaker.
It helps if you think that "gustar" means (to be pleasing)
So "me gustas" means (to me - you are pleasing)

You can see more info on the verb gustar here