Back in November Mel became emotional and choked up on stand, particularly when talking about how much he loved his 1-year-old daughter.
Oksana plans to strip Mel of overnight visits with Lucia, while he aims to take all of the custody rights away from Grigorieva.
She is also expected to take the stand on Wednesday.
This is a trial that has gone nasty on several occasions, with Oksana accusing Mel of having beaten her. Recently, her ex-bodygurad finished a tell-all book about his former employer and now hopes to land a book deal.