The new ads and robocalls are the third phase of an extended paid media campaign from the DNC focused on the shutdown and the potential impending default. The committee earlier this week hit Republican leaders with robocalls and ads, and launched a similar offensive in the early primary voting states of New Hampshire, Iowa, South Carolina and Nevada.

Spanish-language robocalls running in Texas and Florida specifically target Sens. Ted CruzRafael (Ted) Edward CruzOvernight Health Care: Trump eases rules on insurance outside ObamaCare | HHS office on religious rights gets 300 complaints in a month | GOP chair eyes opioid bill vote by Memorial Day HHS official put on leave amid probe into social media posts Trump, Pence to address CPAC this week MORE (R-Texas) and Marco RubioMarco Antonio RubioColbert: Students taking action on gun violence 'give me hope' Lawmakers feel pressure on guns Florida lawmaker's aide fired after claiming shooting survivors were 'actors' MORE (R-Fla.).

"Senator Marco Rubio was an architect of the GOP’s government shutdown and its hurting the Latino community in Florida. Rubio’s shutdown is costing the economy as much as $10 billion a week and Republicans are ready to not pay our nation’s bills," reads the script of the robocall running against Rubio, in Spanish.

DNC Chairwoman Debbie Wasserman Schultz (Fla.) said that the committee will continue to "hold Republicans accountable … for shutting down the government and risking the full faith and credit of the United States."

“The GOP’s shutdown is hurting Latino communities nationwide and the DNC is going to make sure voters in every community know that Republicans are siding with the Tea Party over working families," Wasserman Schultz said.

Democratic attacks hinge on the belief that Republicans could suffer political backlash for their role in the shutdown, borne out by recent polling that shows the GOP taking much of the blame for the situation.

Republicans, however, believe they'll emerge victorious if they continue to push for changes to Obama's signature healthcare law, which remains unpopular with Americans.