The Obama and Romney campaigns cranked up their fight Sunday over claims that the Republican presidential candidate's former company helped fuel a wave of outsourcing and off-shoring that sent U.S. jobs overseas. 

The Obama campaign had already latched onto the narrative that Romney's Bain Capital contributed to the country's outsourcing shift, but a Washington Post story Friday on that very topic has since been employed as a bludgeon by team Obama. 

After releasing a web video and hosting a conference call Friday -- highlighting the story and accusing Romney of shipping jobs overseas -- the campaign pushed out another video Sunday declaring: "America doesn't need an outsourcing pioneer in the Oval Office." 

But the Romney campaign is fighting back, noting that the Washington Post's resident fact-checker challenged some of the claims in the Washington Post's own story. Plus Romney advisers claim the Post -- and the Obama campaign -- are exaggerating what Bain Capital actually did.