Yes, Neanderthals bred wuth humans. Modern humans met and interbred with Neanderthals in western Eurasia around 50,000 to 55,000 years ago.
Humans had interbred at least twice with archaic humans—Neandertals and, later, Denisovans—after leaving Africa.
About 40,000 years ago, ancient humans and Neanderthals had kids together. The mixing of these two species resulted in the exchange of DNA, a process that biologists call introgression.
In Eurasia, interbreeding between Neanderthals and Denisovans with modern humans took place several times. According to researchers, there is evidence of “strong gene flow” between Neanderthals and early modern humans – they were interbreeding rather a lot.