The two men have exchanged words in the past, peaking at the turn of the year when Mourinho alluded to his opposite number's match-fixing charge at former club Siena.
Conte, who was later acquitted of any wrongdoing, has attempted to play down the war of words in the past, insisting last month that he "has no problem" with the Portuguese.
Ahead of Saturday's FA Cup final at Wembley Stadium, Mourinho has said that it is now time to draw a line under the matter.
"Our relationship? It's okay. It's okay," he told Record. "He stretched out [to shake hands], I stretched out. We got bored. After the game in Manchester, I invited him to come to my office. We talked. Nothing's wrong."
United and Chelsea have met on seven previous occasions at Wembley, most recently in the 2010 Community Shield.