Kourtney Kardashian wants to share custody with Scott Disick.

The 'Keeping Up With the Kardashians' star had been expected to bid for sole care of Mason, five, Penelope, three, and seven-month-old Reign following her split from the 32-year-old model, but she is said to be keen for the children to have a ''real, meaningful'' relationship with their dad.

According to TMZ, Kourtney, 36, wants to set in place a formal custody agreement that will allow both her and Scott to spend a ''substantial'' amount of time with the kids.

And despite his former girlfriend's vast fortune, Scott hasn't mentioned seeking child support because he is actually independently wealthy, thanks to TV shows, club appearances and business ventures, as well as a ''significant'' inheritance.

It seems Kourtney has had a change of heart, as it was previously reported she met with Scott last week at the Beverly Hill hotel to discuss her decision to file for sole custody.

A source said: ''Kourtney met up with Scott to discuss the custody situation.

''She wanted him to know that she was going to go after full custody of their children and that she would allow him visitation rights as long as he is sober during the entire time he spends with the kids.

''For the time being, he is also required to be accompanied by a third party.''

The atmosphere between the pair was said to have been ''very, very serious'' as they held their public meeting.