Joe Raedle / Getty Images

Rep. Paul Ryan, R-Wisc., the Republican vice presidential candidate, and Rep. Ileana Ros-Lehtinen, R-Fla., share a laugh with waitress Lourdes Alcerro during a campaign stop Saturday at Versailles restaurant in the Little Havana neighborhood of Miami.

MIAMI -- Paul Ryan made a direct appeal to the large Hispanic population in south Florida on Saturday morning as he spoke inside the popular Versailles Restaurant with several prominent Florida politicians.

“I learned from these friends, from Mario, from Lincoln, from Ileana, just how brutal the Castro regime is, just how this president's policy of appeasement is not working,” Ryan said standing next to former Florida Gov. Jeb Bush and the chairwoman of the House Foreign Relations Committee, Rep. Ileana Ros-Lehtinen, R-Fla.

Ryan vowed to the crowd, which sang “God Bless America” upon the congressman’s arrival: “In a Mitt Romney administration, we will not keep practicing this policy of appeasement; we will be tough on this brutal dictator; all it has done is rewarded more despotism … we will help those pro-democracy groups. We will be tough on Castro, tough on Chavez. And it’s because we know that's the right policy for our country."

These words mark Ryan’s first comments on how a President Romney would handle relations with Cuba.

Several dozen turned out to see the Republican vice presidential nominee on a rainy morning in Miami and Ryan was sure to give a shout-out to the popular Republican leaders from the area, including Sen. Marco Rubio, and two brothers who spoke to the crowd ahead of Ryan, Rep. Mario Diaz-Balart and former Rep. Lincoln Diaz-Balart.

Bush, introducing Ryan, helped the Wisconsin native learn a little Spanish.

"I need to teach Paul one word in Spanish,” the brother of former President George W. Bush and son of former President George H. W. Bush said. “Here we call this ‘una aguacera.’ This was just a little tropical rainstorm.”

Romney's youngest son, Craig, was also on hand and addressed the crowd in Spanish as many of the other politicians did as well.

Ryan began his visit to the famous Cuban establishment by enjoying a cup of Café Colatta with the former governor and Rep. Ros-Lehtinen but wasted no time attacking President Barack Obama during his speech to Floridians.

“Just a couple days ago on Univision, President Obama admitted that he can't change Washington from the inside. Why do we send presidents to the White House in the first place?” he asked. “I mean, we send presidents to change and fix the mess in Washington. And if this president has admitted that he can't change Washington, then you know what, we need to change presidents."

Ryan mingled his way thru the packed restaurant after his brief remarks and even insisted on giving the woman running against Democratic National Chairwoman Rep. Debbie Wasserman Schultz a hug.

Saturday’s appearance in the Sunshine State marked Ryan’s sixth public event as the Romney-Ryan ticket tries to win the state’s 29 electoral votes in November.

Bush made a bold prediction about his state as he spoke to reporters following the event: “Romney is going to carry Florida.”

Updated at 8:02 a.m. ET: MIAMI — Mitt Romney said his campaign is about "100 percent" of Americans as his campaign continued to work to contain the fallout from controversial comments he made at a private fundraiser in May.

Romney, speaking Wednesday at a forum sponsored by Spanish-language broadcaster Univision, softened his tone in reaction to a question about his surreptitiously-recorded comments to donors, in which he dismissed 47 percent of Americans as not winnable because of their dependence on government.

"First of all, this is a campaign about the 100 percent. And over the last several years, you’ve seen greater and greater divisiveness in this country. We had hoped to come back together but instead you've seen us pulled apart," Romney said. "I am concerned about the fact that over the past four years, life has become harder for Americans."

Jim Young / Reuters

Republican presidential nominee Mitt Romney arrives at Univision and Facebook's "Meet the Candidates" Forum moderated by Maria Elena Salinas and Jorge Ramos in Miami, Florida, September 19, 2012.

That represented a softer, more inclusive tone for Romney, who dropped language he had used on Fox News and with Republican donors about the comments reflecting the role of government in society.

Later at a rally at an exposition center in Miami, Romney evoked his father, whose bootstrapping history he regularly references on the campaign trail, as an example of someone who benefited from government help without becoming dependent.

"My dad was born in Mexico of American parents living there. At age 5 or 6 there was a revolution. They came back to the United States, and my dad had to get help, financial help. The government helped his family be able to get on their feet again," Romney said. "By the way, that’s the way America works, we have great hearts; we care for people who have needs. We help get them back. We help lift them up but then they go back to their permanent lifestyle. We help people, we get them on their feet and they build a brighter future.”

Romney also laughed off another controversial remark from the leaked tape, in which he told donors about how being a Latino himself might have helped his chances against President Barack Obama. Romney's father was born in Mexico, and a Univision moderator asked him if he was certain he wasn’t Hispanic.

"I think for political purposes that might have helped me here at the University of Miami today," Romney deadpanned.

The event marked a renewed effort by Romney to cut into Obama's sizable advantage with Latino voters. He was softer on immigration, health care and education issues, all the while attacking the president for failing to fulfill his campaign promises to the nation's fastest-growing demographic group.

At the Spanish-language forum, Romney pledged a solution to what he called the nation's broken immigration system. He said he had no intention of "rounding up" the roughly 12 million undocumented immigrants thought to be in the United States illegally while his plan takes shape.

"I said I'm not in favor of a deportation, a mass deportation effort rounding up 12 million people and kicking them out of the country," Romney said. "I believe people make their own choices as to whether they want to go home and that's what I mean by self-deportation. People decide if they want to go back to the country of their origin and get in line legally to be able to come to this country."

'Federal solution'
Democrats have attacked Romney's "self-deportation" concept since the primary campaign, when Romney used immigration as an issue with which to attack his rivals from the right, essentially promising to make economic opportunity so scarce for illegal immigrants that they would leave the United States voluntarily.

Before an almost exclusively Latino audience on the campus of the University of Miami, Romney defended his support for only one provision of a controversial Arizona immigration law and praised legal immigration as key to America's vitality.

"One aspect of the Arizona law which I think is worthwhile to consider and be part of a federal solution is this idea of an employment verification system," Romney said when pressed on his past praise for the Arizona law. Romney said the law would not have been necessary if President Obama had followed through on promises to reform federal immigration laws in his first term.

"The reason there is an Arizona law is because the federal government and specifically President Obama didn't solve the immigration problem when he came into office," Romney said.

With polls consistently showing Romney trailing President Obama by a 2-to-1 margin among Latino voters, the outreach by the former Massachusetts governor here – aimed at all Latinos, but with a particular focus on the Cuban-American community here – is critical.

That might be why Romney, who rarely mentions his Massachusetts health care reform law because of its similarities to the president's health care reform bill, embraced his connection to some of the law's most popular provisions here. Among Latinos, health care has been a key issue.

"I have experience in health care reform," Romney said after vowing to repeal President Obama's healthcare reform law. "Now and then the president says I’m the grandfather of Obamacare. I don’t think he meant that as a compliment but I’ll take it. This was during my primary. We thought it might not be helpful. But I’ve actually been able to put in place a system that fit the needs of the people in my state. And I’m proud of the fact that in my state after our plan was put in place every child has insurance. Ninety-eight percent of adults have insurance, but we didn’t have to cut Medicare by $716 billion to do that."

The Obama campaign quickly responded to the events, accusing Romney of offering only platitudes to the Hispanic community.

"Mitt Romney is wrong on issues of importance to the Hispanic community. On critical issues, he continued to refuse to answer any of the tough questions or provide any specifics on what he’d do as president," Obama campaign spokesperson Lis Smith said in a statement. "We are just two weeks away from the first presidential debate, where the American people will demand more than vague answers and empty platitudes. It’s time for Mitt Romney to come clean and get specific about his policies.”