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“In order for Harry Reid to be in a position of leadership, he has to have the support of fellow senators, and his fellow senators still answer to voters,” said Kevin Madden, a top Romney adviser.

“It is clear that those voters want to see the economy fixed and the country put back on track. So, when you marshal the public behind the right ideas, you can get things done in Washington. Obama never did that. He ignored the public’s concerns about his wrongheaded policies,” Mr. Madden said.

Asked about the potential Reid-Romney showdown, top Romney adviser Eric Fehrnstrom said he did not “want to discuss specific personalities” before turning back to a familiar talking point that Mr. Romney proved in Massachusetts, where the legislature was 85 percent Democrat, that he can work across party lines.

“To the extent that he got anything done, it was done in cooperation with Democrats that controlled the legislature,” Mr. Fehrnstrom said.

Mr. Romney pounded home the message at a gym in Celina, telling the 2,000 people in attendance that as governor he worked with Democrats to reduce spending, cut taxes and balance the state budget, as required by law.

“We did that together, Republicans and Democrats. We have got to do that in Washington. It is going to happen,” Mr. Romney said.

At three Ohio campaign stops Sunday, Mr. Romney also boasted that part of the reason he tapped Mr. Ryan as his sidekick is because the Wisconsin Republican worked with Sen. Ron Wyden, Oregon Democrat, on a bipartisan plan to strengthen Medicare.

The plan, though, was actually a white paper and Democrats pushed back, saying that Mr. Wyden voted against a version of the plan when Mr. Ryan put it in his budget blueprint. Also, Democrats point out that Mr. Romney still does not mention the marquee bipartisan accomplishment of his gubernatorial stint — the universal health care program he signed into law — and spent 417 days outside the state trying to raise his profile for a presidential bid instead of working with Democrats to do the job he was elected to do.

“The American people can’t trust a word Mitt Romney says, especially when he claims he’d work across the aisle as president,” said Danny Kanner, an Obama campaign spokesman. “As governor, he refused to work with Democrats in the legislature. And throughout this campaign, he’s refused to stand up to the most extreme voices in his own party.”