Some days ago I was watching a TV program on Discovery channel. It
was an episode of "The Medical Detectives." The narrator said,
"There was a fact that caught the inspector's attention..."
I am aware of the verbal expressions "draw attention," "call
attention" and "pay attention." I don't know whether
it is correct or not to say "caught my attention."
Yes, to catch someone's attention is a very good phrase.
It means to "attract or to capture someone's attention."
You might use it in sentences like these:
We tried to catch the waiter's attention.
If you want to catch the child's attention, call his
name in a pleasant way.
Advertisers always want to catch their readers' attention.