The new home in the neighborhood of Brentwood is not far from the family home he shared with Schwarzenegger in his 25 years of marriage.
The deal is reportedly still in custody but could be closed soon.
Shriver, 55, officially divorce of former governor of California, filed last week - two months after Schwarzenegger, 63, revealed that he had a son by a former employee's home during his marriage to Shriver.
Its collapse would be one of the most expensive celebrity divorces, as the pair energy is required to divide half of all assets accumulated during marriage.
Schwarzenegger, who has four children with the Shriver could even exceed its legal obligations and give the soon to be ex-wife the bulk of his fortune in Hollywood in the impending deal, a source told Radar Online.
The conciliation proceedings are supervised by a private judge, added the source for details of the marriage of the couple to prevent leaking to the media.
[via - news.com.au]