The Italian and Portuguese managers have over the years clashed on a number of occasions suggesting there is some sort of ongoing feud.
When Mourinho took over from Ranieri at Chelsea in 2004, he accused his predecessor of having a losing mentality, before the pair again came to verbal blows in Italy when the former was in charge at Inter Milan and the latter at AS Roma.
However, Ranieri dismissed any speculation of a continuing row as his reigning Premier League champions Leicester City get set to take on Mourinho's Manchester United in the early kick-off at Old Trafford on Saturday.
"It's prehistoric, not now," said Ranieri.
"It was a long time ago, I'm OK. He's a great manager and a fantastic person.
"Maybe he will offer me a good red wine. I love red wine and if he offers I will go and drink it with him.
"Mourinho is a fantastic manager, intelligent, clever. He is OK."