At a campaign event in Birmingham, Ala., on Saturday Nov. 21, Republican presidential candidate Donald Trump said, "I don't want the people from Syria coming in because we don't know who they are." (Reuters)

BIRMINGHAM, Ala. -- After two days of confusion over whether or not Donald Trump wants to set up a database of Muslims living in the United States, the candidate explained his stance during a political rally on Saturday morning.

"I will absolutely take database on the people coming in from Syria," Trump said, adding that such a database would not be needed in a Trump administration, as he would kick all Syrian refugees out of the country, regardless of their religion, and allow no more to enter. "If I win, they're going back. They're going back. We can't have them."

Trump called for heavy surveillance of Syrians, Muslims and anyone with possible ties to the Islamic State. He urged the audience members to be vigilant and report anything suspicious they see to the police.

"I want surveillance of certain mosques, okay? If that's okay?" Trump said, as thousands of people in the audience cheered. "I want surveillance. And you know what? We've had it before, and we'll have it again."

[Donald Trump would ‘strongly consider’ closing some mosques in the United States]

Earlier in the week, Trump faced criticism for not immediately rejecting the idea of using a religion-based database to track Muslim Americans. He then faced increased criticism for seeming to agree with the idea in an interview in Iowa on Thursday evening with Vaughn Hillyard of NBC News. In that brief interview, Hillyard asked Trump a series of questions about the possibility of a Muslim database, and the candidate seemed to agree, using the words "certainly" and "absolutely."

Trump said Saturday that he thought he was answering questions about building a wall on the Mexican border. He called Hillyard "some little wise guy who looks like he's 12 years old" and said music was loudly playing during the interview, which was conducted as Trump signed autographs following a town hall in Iowa on Thursday afternoon.

"I was referring to the wall," Trump said. But then he added: "The database is okay. A watch list is okay and surveillance is okay ... I want surveillance of these people that are coming in, the Trojan horse. I want to know who the hell they are."

[Donald Trump’s clarification on Muslim surveillance leaves more questions than answers]

Trump said part of the reason he wants heavy surveillance is that he remembers watching the World Trade Center fall on 9/11 and hearing reports of "thousands of people" cheering the destruction.

Since the terrorist attacks in Paris this month, many Republican candidates have become increasingly skeptical of Muslims and Syrian refugees. Trump has taken some of the most strident positions -- and he says his poll numbers are going up as a result.

"We've gone way up, because people know that I'm going to protect them," Trump said. "I'm going to protect them at the borders. I don't want the people from Syria coming in, because we don't know who they are. We don't know who they are. And I don't want them coming in."

[Conservative suspicions of refugees grow in wake of Paris attacks]