DORAL, Fla. – Newt Gingrich and Mitt Romney urged conservatives to back off aggressive anti-immigration policies as the Republican presidential candidates vied for Hispanic votes Friday, a day marked by heightened tensions entering the final weekend before Florida’s primary.

“I’m very concerned about those who are already here illegally and how we deal with those 11 million or so,” Romney said. “My heart goes out to that group of people. … We’re not going to go around and round people up in buses and ship them home.”

The compassionate approach, like Gingrich’s calls for politically practical reform, was aimed at improving the Republican Party’s tarnished reputation among Hispanics. Both men delivered speeches Friday to the same group of Hispanic leaders gathered in Miami but avoided – at least briefly – criticizing each other in what now looks like a two-man race for the nomination.

Immigration is a flashpoint issue in Florida for the GOP candidates, who are trying to strike a balance between sounding compassionate toward immigrants and firm about stemming the tide of illegal workers. The state has roughly 1.5 million Hispanic voters.

Gingrich pushed for a measured approach to revising the nation’s immigration laws, “because any bill you write that is comprehensive has too many enemies.” The former House speaker says he wants stricter border control, faster deportation proceedings and a guest-worker program for certain immigrants.

If elected, Gingrich said he would bring to bear “the moral force of an American president who is serious about intending to free the people of Cuba and willingness to intimidate those who are the oppressors and say to them, ‘You will be held accountable.’ ”

Romney said the United States needs to work harder to promote democracy across Latin America and elsewhere. He compared it to selling soda: “We convince people around the world to buy a brown, caramel-colored water called Coca-Cola and to pay like a half day’s wage for it. And they’ll buy it. It’s unbelievable. We’re able to convince people of things that sometimes you scratch your head. … And yet democracy, we don’t sell that so well.”

Dictatorships aligned with the U.S. ruled much of South America in the 1970s, but most nations returned to democracy in the 1980s.