to make someone notice you by looking at them
I tried to catch her eye, but she had already turned away.
彼女の目を引こうとしましたが、彼女はすでに振り向いてしまいました。
to be unique or pretty enough to make people notice
It was the colour of his jacket that caught my eye.
彼のジャケットの色が私の目を引いた。