Charlie Sheen and Brooke Mueller try to make their marriage work
The couple - whose relationship has been on the rocks since Charlie was arrested on Christmas Day (25.12.09), following assault allegations made by Brooke - are not thinking about divorce at the moment and want to see if they can sort things out for the sake of their 13-month-old twin sons, Max and Bob.
In a joint statement made by Brooke`s lawyer Yale Galanter and Charlie`s `Two and a Half Men` executive producer Mark Burg, they said: "Please let us clarify this: They are not seeking a divorce nor has one been contemplated.
"There has been no financial agreements between the parties of any sort. Stories to the contrary are false."
Although both representatives admit the couple were having marital issues and are currently living apart, they are putting every effort into saving their two-year union.
Yale added: "This is a difficult time and they need space to see if they can work things out or not."
In March, Charlie, 44, pleaded not guilty to assaulting Brooke as he faces three charges - felony menacing, misdemeanour third degree assault and misdemeanour criminal mischief - stemming from her allegations he threatened to kill her with a knife. A trial date has been set for July 21.
Both Charlie and Brooke have been in rehab since the allegations receiving treatment for their respective addictions.