Donald Trump on Sunday said he's no fan of racial profiling, but he still thinks the U.S. should consider using it to prevent terror attacks like the mass shooting in Orlando.

"I think profiling is something that we're going to have to start thinking about as a country," the presumptive Republican presidential nominee told CBS during an appearance on "Face the Nation."

"Other countries do it. You look at Israel and you look at others and they do it. And they do it successfully."

Trump added, "I hate the concept of profiling, but we have to start using common sense and we have to use our heads."

"We absolutely have to look at profiling ... and it's not the worst thing to do," he said.

Trump declined, however, to say whether he thinks Muslim Americans, such as the 29-year-old shooter in Orlando, should face "extra scrutiny" when they go to buy ammunition and weapons.

"I don't know about that," he said. "I think right now we have some pretty big problems. And they're problems coming out of radical Islamic groups."