Jennifer Lopez and Alex Rodriguez say reports of their demise as a couple have been greatly exaggerated -- well, maybe just exaggerated -- because they say they are still fighting to stay together ... TMZ has learned.
Both JLo and A-Rod tell TMZ, "All the reports are inaccurate. We are working through some things." We're also told what they're working through has nothing to do with a third party.
Sources connected to the couple made it clear to TMZ and other outlets Friday ... the couple had called off their engagement and broken up.