Benitez had offered to assist Juve with some tactical planning for their Europa League semi - which was turned down flat by Conte.
"I am sorry that Benitez's words were reported in a bad way by the media," Conte said to Rai Sport.
"I'm sorry because it seems to me like Benitez was being serious with what he said, in the sense that he was offering a helping hand.
"Let's says that some newspapers didn't report it in the right way.
"I think Benitez was being genuine, so it's up to me now whether I call him or not.
"Looking at his words now, on his part it looks like it was a serious and genuine offer.
"Reading about it before however it didn't seem that way, so I'm sorry.
"I know very well that it's more important to report about a Benitez row with Conte than about an offer by Benitez to Conte."