Bruce is encouraging Emma to get to know his family in a sign the relationship is getting serious

Of course, it was Willis who set the precedent after making a concerted effort to be on friendly terms with Demi's new love, Ashton Kutcher, 30.

He is now so close to the Charlie's Angels star and her husband - they even holiday together.

Despite splitting up in 1998, 11 years after they married, the action star revealed recently: "I love Demi, and I know she loves me."