According to The People, the couple met up last week to try and talk things through, and it is thought divorce proceedings are a long way off.
“They decided to talk things through and see what they can make work. They went through everything and are seeing what happens next," a source told the paper.
“She is heartbroken and sad her marriage ended She and Lee had something really special. They know it is a long road but it is one Denise wants to explore."
They added: "There is no chance of any divorce paperwork coming to light soon, it hasn’t even been discussed.
“They took a very difficult decision after much thought but now they hope there could be light at the end of this tunnel. Both Denise and Lee are committed to making sure their daughter is happy.”
News of their split was confirmed in a statement last month, following much speculation about their three-year marriage.
"Following continued speculation, Denise Van Outen and Lee Mead are sad to confirm they have decided to separate. The couple remain the best of friends, with their daughter Betsy as their No.1 priority. The family ask for privacy at this time," a spokesperson said.
Denise was later pictured her wedding ring following the news, while Lee was pictured still wearing his over the weekend, despite having moved out of their London home.
Denise previously admitted the time they spent apart while Lee was filming in the US had put a 'massive strain' on their relationship.
She told Now magazine: "To be honest with you, it is really difficult. We just haven't seen each other. I'm not going to lie, it is a massive strain on the relationship.
"It is difficult. We haven't really spent any proper time together for six months."